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The Mathematical Legacy of Eduard Čech

Author: Miroslav Katětov; Petr Simon
Publisher: Basel : Birkhäuser Basel, 1993.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
The work of Professor Eduard Cech had a si~ificant influence on the development of algebraic and general topology and differential geometry. This book, which appears on the occasion of the centenary of Cech's birth, contains some of his most important papers and traces the subsequent trends emerging from his ideas. The body of the book consists of four chapters devoted to algebraic topology, Cech-Stone  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Printed edition
Named Person: Eduard Čech
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Miroslav Katětov; Petr Simon
ISBN: 9783034875264 3034875266 9783034875240 303487524X
OCLC Number: 851818850
Language Note: English.
Description: 1 online resource (volumes)
Contents: Life and work of Eduard?ech --
Bibliography of E.?ech --?ech-Stone Compactification --
On Bicompact Spaces, Annals of Mathematics 38, 1937 --
Remark on Bicompact Spaces, Annals of Mathematics 38, 1937 --
On Rings of Continuous Functions on Topological Spaces, Comptes Rendus (Doklady) de l'Académie des Sciences de l'URSS 22, 1939 --
Stone-?ech Compactifications of Products, Transactions of Amer. Math. Soc. 90, 1959 --
Stone-?ech Homogeneity Problems in the Theory of?ech Compactifications, Duke Math. J. 23, 1956 --
On a Universal Bicompactum of Weight N, Doklady Akad. Nauk. SSSR 150, 1963. (Translated from Russian by P. Simon) --
Non-Homogeneity of?P --
P, Comment. Math. Univ. Carolinae 8, 1967 --
Weak P-Points in N*, Colloquia Math. Soc. J. Bolyai 23, 1978 --
Dimension Theory --
On the Dimension of Perfectly Normal Spaces, Bull. Intern. Acad. Tcheque Sci. 33, 1932. (Translated from French by J. Vanzura) --
Contribution to Dimension Theory,?asopis P?st. Mat. Fys. 62, 1933. (Translated from Czech by P. Simon) --
On the Dimension of Bicompacta, Doklady Akad. Nauk SSSR 67, 1949. (Translated from Russian by P. Simon) --
Inductive Dimension of Completely Normal Spaces, Quart. J. Math. Oxford Ser. (2) 4, 1953 --
Dimension of Metric Spaces, Fundamenta Mathematicae 43, 1956 --
On the Dimension of Compact Spaces, Czechoslovak Math. J. 8, 1958. (Translated from Russian by P. Simon) --
Bicompacta with Distinct Dimensions ind and dim, Doklady Akad. Nauk. SSSR 192, 1970. (Translated from Russian by P. Simon) --
A Hereditarily Normal Strongly Zero-Dimensional Space with a Subspace of Positive Dimension and an N-Compact Space of Positive Dimension, Fundamenta Mathematicae 97, 1977 --
Spaces with Noncoinciding Dimensions, Proceedings of Amer. Math. Soc. 94, 1985 --
Algebraic Topology --
General Homology Theory in an Arbitrary Space, Fundamenta Mathematicae 10, 1932. (Translated from French by J. Vanžura) --
Betti Groups of an Infinite Complex, Fundamenta Mathematicae 25, 1935. (Translated from French by J. Vanžura) --
Multiplications On a Complex, Annals of Math. 37, 1936 --
On Generalized Manifolds, American J. of Math. 55, 1933 --?ech Cohomology Theory and the Axioms, Annals of Math. 51, 1950 --
Differential Geometry --
On the Surfaces All Segre Curves of Which Are Plane Curves, Publ. Fac. Sci. Univ. Masaryk 11, 1922. (Translated from French by J. Vanžura) --
Developable Transformations of Line Congruences, Czechoslovak Math. J. 6, 1956. (Translated from French by J. Vanžura) --
On the Differential Geometry of a Surface Embedded in a Three Dimensional Space With Projective Connection, Czechoslovak Math. J. 11, 1961. (Translated from French by J. Vanžura) --
Order of Holonomy of a Surface With Projective Connection,?asopis P?st. Mat. 96, 1971 --
Geometric Deformations of the Evolution Equations and Bäcklund Transformations, Physica 18D, 1986 --
Professor?ech and Didactics of Mathematics --
Acknowledgement.
Responsibility: edited by Miroslav Katětov, Petr Simon.

Abstract:

The work of Professor Eduard Cech had a si~ificant influence on the development of algebraic and general topology and differential geometry. The book also contains a concise biography borrowed with  Read more...

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