Fixed point theorems for plane continua with applications / Alexander M. Blokh [and four others].

Format:

Book

Author/Creator:

Blokh, Alexander M., 1958-

Blokh, Alexander M., 1958- author.

Series:

Memoirs of the American Mathematical Society ; Volume 224, Number 1053.

Memoirs of the American Mathematical Society, 0065-9266 ; Volume 224, Number 1053

Language:

English

Subjects (All):

Fixed point theory.

Physical Description:

1 online resource (97 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, 2012.

Language Note:

English

Summary:

July 2013, volume 224, number 1053 (second of 4 numbers).

Contents:

""Chapter 4. Partitions of domains in the sphere""""4.1. Kulkarni-Pinkall Partitions""; ""4.2. Hyperbolic foliation of simply connected domains""; ""4.3. Schoenflies Theorem""; ""4.4. Prime ends""; ""Part 2 . Applications of Basic Theory""; ""Chapter 5. Description of main results of Part 2""; ""5.1. Outchannels""; ""5.2. Fixed points in invariant continua""; ""5.3. Fixed points in non-invariant continua �the case of dendrites""; ""5.4. Fixed points in non-invariant continua �the planar case""; ""5.5. The polynomial case""; ""Chapter 6. Outchannels and their properties""

""6.1. Outchannels""""6.2. Uniqueness of the Outchannel""; ""Chapter 7. Fixed points""; ""7.1. Fixed points in invariant continua""; ""7.2. Dendrites""; ""7.3. Non-invariant continua and positively oriented maps of the plane""; ""7.4. Maps with isolated fixed points""; ""7.5. Applications to complex dynamics""; ""Bibliography""; ""Index""

Notes:

"Volume 224, Number 1053 (second of 4 numbers)."

Includes bibliographical references and index.

Description based on print version record.

ISBN:

1-4704-1004-4