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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

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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Genre/Form: Electronic books
Additional Physical Format: Printed edition
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
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'Academie 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. Vanzura).- Betti Groups of an Infinite Complex, Fundamenta Mathematicae 25, 1935. (Translated from French by J. Vanzura).- 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. Vanzura).- Developable Transformations of Line Congruences, Czechoslovak Math. J. 6, 1956. (Translated from French by J. Vanzura).- 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. Vanzura).- Order of Holonomy of a Surface With Projective Connection, ?asopis P?st. Mat. 96, 1971.- Geometric Deformations of the Evolution Equations and Backlund Transformations, Physica 18D, 1986.- Professor ?ech and Didactics of Mathematics.- Acknowledgement.
Responsibility: edited by Miroslav Katětov, Petr Simon.


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