Bibliography

 

A. D. ALEXANDROFF

[1]On the extension of a Hausdorff space to an H-closed space, C. R. (Doklady) Acad. Sci. U.R.S.S., N.S. 37 (1942) 118–121

P. ALEXANDROFF

[1]Sur les ensembles de la première classe et les ensembles abstraits, C. R. Acad. Sci. Paris 178 (1924) 185–187

P. ALEXANDROFF and H. HOPF

[1]Topologie I, Berlin (1935)

P. ALEXANDROFF and P. URYSOHN

[1]Mémoire sur les espaces topologiques compactes, Verh. Akad. Wetensch. Amsterdam 14 (1929) 1–96

[2]Une condition necessaire et suffisante pour qu’une class soit une class , C. R. Acad. Sci. Paris 177 (1923) 1274–1277

A. APPERT

[1]Écart partielement ordonné et uniformité, C. R. Acad. Sci. Paris 224 (1947) 442–444

A. APPERT and KY FAN

[1]Espaces topologiques intermédiares. Problème de la distanciation Actualités Sci. Ind. 1121 Paris (1951)

R. ARENS

[1]Note on convergence in topology, Math. Mag. 23 (1950) 229–234

[2]A topology for spaces of transformations, Ann. of Math. (2) 47 (1946) 480–495

[3]Topologies for homeomorphism groups, Amer. J. Math, 68 (1946) 593–610

R. ARENS and J. DUGUNDJI

[1]Remark on the concept of compactness, Portugaliae Math. 9 (1950) 141–143

[2]Topologies for function spaces, Pacific J. Math. 1 (1951) 5–31

N. ARONSZAJN

[1]Quelques remarques sur les relations entre les notions d’écart régulier et de distance, Bull. Amer. Math. Soc. 44 (1938) 653–657

[2]Über ein Urbildproblem, Fund. Math. 17 (1931) 92-121

M. BALANZAT

[1]On the metrization of quasi-metric spaces. Gaz. Mat., Lisboa 12, no. 50 (1951) 91-94

S. BANACH

[1]Théorie des opérations linéaires, Warsaw (1932)

E. G. BEGLE

[1]A note on S-spaces, Bull. Amer. Math. Soc. 55 (1949) 577–579

R. H. BING

[1]Metrization of topological spaces, Canadian J. Math. 3 (1951) 175–186

G. BIRKHOFF

[1]Lattice Theory (Revised Ed.), A.M.S. Colloquium Publ. XXV, New York (1948)

[2]A note on topological groups, Compositio Math. 3 (1936) 427–430

[3]Moore-Smith convergence in general topology, Ann. of Math. (2) 38 (1937) 39–56

N. BOURBAKI

[1]Topologie générale, Actualités Sci. Ind. 858 (1940), 916 (1942), 1029 (1947), 1045 (1948), 1084 (1949), Paris

[2]Intégration, Actualités Sci. Ind. 1175, Paris (1952)

[3]Espace vectoriels topologiqúe, Actualités Sci. Ind. 1189 Paris (1953)

N. BOURBAKI and J. DIEUDONNÈ

[1]Note de tératopologie II, Revue Scientifique 77 (1939) 180–181

E. ČECH

[1]On bicompact spaces, Ann. of Math. (2) 38 (1937) 823–844

C. CHEVALLEY

[1]Theory of Lie Groups I, Princeton (1946)

E. W. CHITTENDEN

[1]On the metrization problem and related problems in the theory of abstract sets, Bull. Amer. Math. Soc. 33 (1927) 13–34

H. J. COHEN

[1]Sur un problème de M. Dieudonné, C. R. Acad. Sci. Paris 234 (1952) 290-292

L. W. COHEN

[1]On topological completeness, Bull. Amer. Math. Soc. 46 (1940) 706–710

L. W. COHEN and C. GOFFMAN

[1]On the metrization of uniform space, Proc. Amer. Math. Soc. 1 (1950) 750-753

J. COLMEZ

[1]Espaces à écart généralisé régulier, C. R. Acad. Sci. Paris 224 (1947) 372–373

M. M. DAY

[1]Convergence, closure and neighborhoods, Duke Math. J. 11 (1944) 181–199

J. DIEUDONNÉ

[1]Une generalization des espaces compacts, J. Math. Pures Appl. 23 (1944) 65–76

[2]Sur un espace localement compact non metrisable, Anais da Acad. Bras. Ci. 19 (1947) 67–69

[3]Sur la completion des groupes topologiques, C. R. Acad. Sci. Paris 218 (1944) 774–776

[4]On topological groups of homeomorphisms, Amer. J. Math. 70 (1948)659–680

[5]Un exemple d’espace normal non susceptible d’une structure uniforme d’espace complet, C. R. Acad. Sci. Paris 209 (1939) 145–147

[6]Sur les espaces uniformes complets, Ann. Sci. École Norm. Sup. 56 (1939) 227–291

J. DIXMIER

[1]Sur certains espaces considérés par M. H. Stone, Summa Brasil. Math. 2 (1951) 151–182

R. DOSS

[1]On uniform spaces with a unique structure, Amer. J. Math. 71 (1949) 19–23

C. H. DOWKER

[1]An embedding theorem for paracompact metric spaces, Duke Math. J. 14 (1947) 639–645

[2]On countably paracompact spaces, Canadian J. Math. 3 (1951) 219–244

[3]On a theorem of Hanner, Ark. Mat. 2 (1952) 307–313

J. DUGUNDJI

[1]An extension of Tietze’s theorem, Pacific J. Math. 1 (1951) 353–367

S. EILENBERG

[1]Sur le théorème de décomposition de la théorie de la dimension, Fund. Math. 26 (1936) 146–149

S. EILENBERG and N. STEENROD

[1]Foundations of algebraic topology, Princeton (1952)

W. T. VAN EST and H. FREUDENTHAL

[1]Trennung durch stetige functionen in topologischen Räumen, Indagationes Math. 13 (1951) 359-368

M. K. FORT, JR.

[1]A note on pointwise convergence, Proc. Amer. Math. Soc. 2 (1951) 34–35

R. H. FOX

[1]On topologies for function spaces, Bull. Amer. Math. Soc. 51 (1945) 429-432

A. FRAENKEL

[1]Einleitung in die Mengenlehre (Amer. Ed.) New York (1946) M. FRECHET

[1]Sur quelques points du Calcul Fonctionnel (These) Rendiconti di Palermo 22 (1906) 1–74

[2]Les espaces abstractes, Paris (1926)

H. FREUDENTHAL

[1]Neuaufbau der Endentheorie, Ann. of Math. (2) 43 (1942) 261–279

A. H. FRINK

[1]Distance functions and the metrization problem, Bull. Amer. Math. Soc. 43 (1937) 133–142

D. GALE

[1]Compact sets of functions and function rings, Proc. Amer. Math. Soc. 1 (1950) 303–308

K. GÖDEL

[1]The consistency of the continuum hypothesis, Ann. of Math. Studies 3 (1940)

A. P. GOMES

[1]Topologie induite par un pseudo-diamètre, C. R. Acad. Sci. Paris 227 (1948) 107–109

L. M. GRAVES

[1]The theory of functions of real variables, New York (1946)

A. GROTHENDIECK

[1]Critères de compacité dans les espaces fonctionnels généraux, Amer. J. Math. 74 (1952) 168–186

W. GUSTIN

[1]Countable connected spaces, Bull. Amer. Math. Soc. 52 (1946) 101–106

P. R. HALMOS

[1]Measure theory, New York (1950)

O. HANNER

[1]Retraction and extension of mappings of metric and non-metric spaces, Ark. Math. 2 (1952) 315–360

E. HEWITT

[1]On two problems of Urysohn, Ann. of Math. (2) 47 (1946) 503–509

[2]Rings of real-valued continuous functions I, Trans. Amer. Math. Soc. 64 (1948) 45–99

F. HAUSDORFF

[1]Grundzüge der Mengenlehre, Leipzig (1914)

[2]Die Mengen Gδ in vollständigen Räumen, Fund. Math. 6 (1924) 146–148

E. HILLE

[1]Functional analysis and semi-groups, A.M.S. Colloquium Publ. XXI, New York (1948)

S. T. HU

[1]Archimedean uniform spaces and their natural boundedness, Portugaliae Math. 6 (1947) 49–56

W. HUREWICZ and H. WALLMAN

[1]Dimension theory, Princeton (1941)

K. ISEKI

[1]On definitions of topological space, J. Osaka Inst. Sci. Tech. 1 (1949) 97–98

S. KAKUTANI

[1]Über die Metrization der topologischen Gruppen, Proc. Imp. Acad. Japan 12 (1936) 82–84

G. K. KALISCH

[1]On uniform spaces and topological algebra, Bull. Amer. Math. Soc. 52 (1946) 936–939

M. KATĔTOV

[1]On H-closed extensions of topological spaces, Časopis Pĕst. Mat. Fys. 72 (1947) 17–32

J. L. KELLEY

[1]Convergence in topology, Duke Math. J. 17 (1950) 277–283

[2]The Tychonoff product theorem implies the axiom of choice, Fund. Math. 37 (1950) 75–76

V. L. KLEE

[1]Invariant metrics in groups (solution of a problem of Banach), Proc. Amer. Math. Soc. 3 (1953) 484–487

B. KNASTER and C. KURATOWSKI

[1]Sur les ensembles connexes, Fund. Math. 2 (1921) 206–255

A. KOLMOGOROFF

[1]Zur Normierbarkeit eines allgemeinen topologischen linearen Raumes, Studia Math. 5 (1934) 29–33

G. KÖTHE

[1]Die Quotientenräume eines linearen vollkommenen Raumes, Math. Z. 51 (1947) 17–35

S. B. KRISHNA MURTI

[1]A set of axioms for topological algebra, J. Indian Math. Soc. (N.S.) 4 (1940) 116–119

C. KURATOWSKI

[1]Topologie I (2nd Ed.) Warsaw (1948)

[2]Topologie II, Warsaw (1950)

[3]Une méthode d’élimination des nombres transfinis des raissonnements mathématiques, Fund. Math. 3 (1922) 76–108

E. LANDAU

[1]Grundlagen der Analysis, (Amer. Ed.) New York (1946)

J. P. LASALLE

[1]Topology based upon the concept of pseudo-norm, Proc. Nat. Acad. Sci. U.S.A. 27 (1941) 448–451

S. LEFSCHETZ

[1]Algebraic topology, A.M.S. Colloquium Publ. XXVII, New York (1942)

L. H. LOOMIS

[1]On the representation of a-complete Boolean algebras, Bull. Amer. Math. Soc. 53 (1947) 757–760

[2]Abstract harmonic analysis, New York (1953)

E. J. MCSHANE

[1]Partial orderings and Moore-Smith limits, Amer. Math. Monthly 59 (1952) 1–11

[2]Integration, Princeton (1944)

[3]Order-preserving maps and integration processes, Ann. of Math. Studies 31, Princeton (1953)

E. MICHAEL

[1]A note on paracompact spaces, Proc. Amer. Math. Soc. 4 (1953) 831–838

[2]Topologies on spaces of subsets, Trans. Amer. Math. Soc. 71 (1951) 151–182

A. MONTEIRO

[1]Caractérisation de l’opération de fermeture par une seul axiome, Portugaliae Math. 4 (1945) 158–160

[2]Caractérisation des espaces de Hausdorff au moyen de Vopération de dérivation, Portugaliae Math. 1 (1940) 333–339

E. H. MOORE

[1]Definition of limit in general integral analysis, Proc. Nat. Acad. Sci. U.S.A. 1 (1915) 628

[2]General analysis I, Pt. II, Philadelphia (1939)

E. H. MOORE and H. L. SMITH

[1]A general theory of limits, Amer. J. Math. 44 (1922) 102–121

R. L. MOORE

[1]Foundations oj point set theory, A.M.S. Colloquium Publ. XIII, New York (1932)

K. MORITA

[1]Star-finite coverings and the star-finite property, Math. Japonicae 1 (1948) 60–68

S. B. MYERS

[1]Normed linear spaces of continuous functions, Bull. Amer. Math. Soc. 56 (1950) 233–241

[2]Equicontinuous sets of mappings, Ann. of Math. (2) 47 (1946) 496–502

[3]Functional uniformities, Proc. Amer. Math. Soc. 2 (1951) 153–158

A. D. MYŠKIS

[1]On the concept of boundary, Mat. Sbornik N.S. 25 (1949) 387–414

[2]The definition of boundary by means of continuous mappings, Mat. Sbornik N.S. 26 (1950) 225–227

[3]On the equivalence of certain methods of definition of boundary, Mat. Sbornik N.S. 26 (1950) 228–236

L. NACHBIN

[1]Topological vector spaces, Rio de Janeiro (1948)

J. NAGATA

[1]On a necessary and sufficient condition of metrizability, J. Inst. Polytech. Osaka City Univ. 1 (1950) 93–100

[2]On the uniform topology of bicompactifications, J. Inst. Polytech. Osaka City Univ. 1 (1950) 28–39

H. NAKANO

[1]Topology and linear topological spaces, Tokyo (1951)

J. VON NEUMANN

[1]On complete topological spaces, Trans. Amer. Math. Soc. 37 (1935) 1–20

M. H. A. NEWMAN

[1]Elements of the topology of plane sets of points, Cambridge (1939)

J. NOVAK

[1]Regular space on which every continuous function is constant, Časopis Pĕst. Mat. Fys. 73 (1948) 58–68

B. J. PETTIS

[1]On continuity and openness of homomorphisms in topological groups, Ann, of Math. (2) 51 (1950) 293–308

[2]A note on everywhere dense subgroups, Proc. Amer. Math. Soc. 3 (1952) 322–326

L. PONTRJAGIN

[1]Topological groups, Princeton (1939)

W. V. O. QUINE

[1]Mathematical logic, Cambridge (U.S.A.) (1947)

A. RAMANATHAN

[1]Maximal Hausdorff spaces, Proc. Indian Acad. Sci. Sect. A, 26 (1947) 31–42

H. RIBEIRO

[1]Une extension de la notion de convergence, Portugaliae Math. 2 (1941) 153–161

[2]Sur les espace à métrique faible, Portugaliae Math. 4 (1943) 21–40, also 65–68

[3]Caractérisations des espaces réguliers normaux et complètement normaux au moyen de l’opération de dérivation, Portugaliae Math. 2 (1940) 1–7

P. SAMUEL

[1]Ultrafilters and compactification of uniform spaces, Trans. Amer. Math. Soc. 64 (1948) 100–132

T. SHIROTA

[1]On systems of structures of a completely regular space, Osaka Math. J. 2 (1950) 131–143

[2]A class of topological spaces, Osaka Math. J. 4 (1952) 23–40

W. SIERPINSKI

[1]General topology (2nd Ed.) Toronto (1952)

[2]Sur les ensembles complets d’un espace (D), Fund. Math. 11 (1928) 203–205

YU. M. SMIRNOV

[1]A necessary and sufficient condition for metrizability of a topological space, Doklady Akad. Nauk S.S.S.R. N.S. 77 (1951) 197–200

[2]On metrization of topological spaces, Uspehi Matem. Nauk 6 (1951) 100–111

[3]On normally disposed sets of normal spaces, Mat. Sbornik N.S. 29 (1951) 173–176

R. H. SORGENFREY

[1]On the topological product of paracompact spaces. Bull. Amer. Math. Soc. 53 (1947) 631–632

A. H. STONE

[1]Paracompactness and product spaces, Bull. Amer. Math. Soc. 54 (1948) 977–982

M. H. STONE

[1]Notes on integration I, II, III, IV, Proc. Nat. Acad. Sci. U.S.A. 34 (1948) 336–342, 447–455, 483–490; 35 (1949) 50–58

[2]Topological representations of distributive lattices and Brouwerian logics, Časopis Pĕst. Mat. Fys. 67 (1937) 1–27

[3]The theory of representations for Boolean algebras, Trans. Amer. Math. Soc. 40 (1936) 37–111

[4]Boundedness properties in function lattices, Canadian J. Math. 1 (1946) 176–186

[5]The generalized Weierstrass approximation theorem, Math. Mag. 21 (1948) 167–184

[6]Applications of the theory of Boolean rings to general topology, Trans. Amer. Math. Soc. 41 (1937) 375–481

E. C. STOPHER, JR.

[1]Point set operators and their interrelations, Bull. Amer. Math. Soc. 45 (1939) 758–762

E. SZPILRAJN

[1]Remarque sur les produits cartésiens d’espaces topologiques, C. R. (Doklady) Acad. Sci. U.R.S.S. N.S. 31 (1941) 525–527

P. SZYMANSKI

[1]La notion des ensembles separé comme terme primitif de la topologie, Mathematica Timisoara 17 (1941) 65–84

A. TARSKI

[1]Introduction to modem logic (2nd Amer. Ed.), New York (1946)

H. TONG

[1]On some problems of Čech, Ann. of Math. (2) 50 (1949) 154–157

J. W. TUKEY

[1]Convergence and uniformity in topology, Ann. of Math. Studies 2 (1940)

A. TYCHONOFF

[1]Über einen Funktionenräum, Math. Ann. 111 (1935) 762–766

[2]Über die topologische Erweiterung von Räumen, Math. Ann. 102 (1929) 544–561

H. UMEGAKI

[1]On the uniform space, Tohoku Math. J. (2) 2 (1950) 57–63

H. D. URSELL and L. C. YOUNG

[1]Remarks on the theory of prime ends, Memoirs Amer. Math. Soc. 3 (1951)

P. URYSOHN

[1]Über die Mächtigkeit der zusammenhängen Mengen, Math. Ann. 94 (1925) 262–295

R. VAIDYANATHASWAMY

[1]Treatise on set topology I, Madras (1947)

A. D. WALLACE

[1]Separation spaces, Ann. of Math. (2) 42 (1941) 687–697

[2]Extensional invariance, Trans. Amer. Math. Soc. 70 (1951) 97–102

H. WALLMAN

[1]Lattices and topological spaces, Ann. of Math. (2) 42 (1941) 687–697

A. WEIL

[1]Sur les espaces a structure uniforme et sur la topologie générale, Actualités Sci. Ind. 551, Paris (1937)

[2]L’intégration dans les groupes topologiques et ses applications, Actualités Sci. Ind. 869, Paris (1940)

G. T. WHYBURN

[1]Analytic topology, A.M.S. Colloquium Publ. XXVIII, New York (1942)

[2]Open and closed mappings, Duke Math. J. 17 (1950) 69–74

R. L. WILDER

[1]Topology of manifolds, A.M.S. Colloquium Publ. XXXII, New York (1949)

E. ZERMELO

[1]Neuer Beweis für die Wohlordnung, Math. Ann. 65 (1908) 107–128