Dynamic Topology

It is a privilege for me to write a foreword for this unusual book. The book is not primarily a reference work although many of the ideas and proofs are explained more clearly here than in any other source that I know. Nor is this a text of the customary sort. It is rather a record of a particular c...

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Bibliographic Details
Main Authors: Whyburn, G., Duda, E. (Author)
Format: eBook
Language:English
Published: New York, NY Springer New York 1979, 1979
Edition:1st ed. 1979
Series:Undergraduate Texts in Mathematics
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
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245 0 0 |a Dynamic Topology  |h Elektronische Ressource  |c by G. Whyburn, E. Duda 
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300 |a XII, 154 p  |b online resource 
505 0 |a A -- Section I Sets and Operations with Sets -- Section II Spaces -- Section III Directed Families -- Section IV Compact Sets and Bolzano-Weierstrass Sets -- Section V Functions -- Section VI Metric Spaces and a Metrization Theorem -- Section VII Diameters and Distances -- Section VIII Topological Limits -- Section IX Relativization -- Section X Connected Sets -- Section XI Connectedness of Limit Sets and Separations -- Section XII Continua -- Section XIII Irreducible Continua and a Reduction Theorem -- Section XIV Locally Connected Sets -- Section XV Property S and Uniformly Locally Connected Sets -- Section XVI Functions and Mappings -- Section XVII Complete Spaces -- First Semester Examination -- Section XVIII Mapping Theorems -- Section XIX Simple Arcs and Simple Closed Curves -- Section XX Arcwise Connectedness -- Appendix I Localization of Property S -- Appendix II Cyclic Element Theory -- B -- Section I Product Spaces -- Section II Decomposition Spaces -- Section III Component Decomposition -- Section IV Homotopy -- Section V Unicoherence -- Section VI Plane Topology -- Appendix Dynamic Topology 
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520 |a It is a privilege for me to write a foreword for this unusual book. The book is not primarily a reference work although many of the ideas and proofs are explained more clearly here than in any other source that I know. Nor is this a text of the customary sort. It is rather a record of a particular course and Gordon Whyburn's special method of teaching it. Perhaps the easiest way to describe the course and the method is to relate my own personal experience with a forerunner of this same course in the academic year 1937-1938. At that time, the course was offered every other year with a following course in algebraic topology on alternate years. There were five of us enrolled, and on the average we knew less mathematics than is now routinely given in a junior course in analysis. Whyburn's purpose, as we learned, was to prepare us in minimal time for research in the areas in which he was inter­ ested. His method was remarkable