Fixed points / Yu. A. Shashkin ; translated from the Russian by Viktor Minachin.

Format:

Book

Author/Creator:

Shashkin, I︠U︡. A. (I︠U︡riĭ Alekseevich), author.

Series:

Mathematical World, 2380-5692 ; v. 2

Standardized Title:

Nepodvizhnye tochki. English

Language:

English

Russian

Subjects (All):

Fixed point theory.

Physical Description:

1 online resource (viii, 77 pages) : illustrations

Place of Publication:

[Providence, R.I.] : American Mathematical Society : Mathematical Association of America, c1991.

System Details:

Mode of access : World Wide Web

Contents:

Chapter 1. Continuous Mappings of a Closed Interval and a Square Chapter 2. First Combinatorial Lemma Chapter 3. Second Combinatorial Lemma, or Walks through the Rooms in a House Chapter 4. Sperner's Lemma Chapter 5. Continuous Mappings, Homeomorphisms and the Fixed Point Property Chapter 6. Compactness Chapter 7. Proof of Brouwer's Theorem for a Closed Interval, the Intermediate Value Theorem, and Applications Chapter 8. Proof of Brouwer's Theorem for a Square Chapter 9. The Iteration Method Chapter 10. Retraction Chapter 11. Continuous Mappings of a Circle, Homotopy, and Degree of a Mapping Chapter 12. Second Definition of the Degree of a Mapping Chapter 13. Continuous Mappings of a Sphere Chapter 14. Theorem on Equality of Degrees Solutions and Answers

Notes:

Includes bibliographical references (pages 77).

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Description based on print version record.

Other Format:

Print version: Shashkin, I︠U︡. A. Fixed points /

ISBN:

9781470424701 (online)

Access Restriction:

Restricted for use by site license.