1.

Record Nr.

UNINA9910480504903321

Titolo

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

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , 2012

©2012

ISBN

1-4704-1004-4

Descrizione fisica

1 online resource (97 p.)

Collana

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

Disciplina

515/.39

Soggetti

Fixed point theory

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

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

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

""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 â€?the case of dendrites""; ""5.4. Fixed points in non-invariant continua â€?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""