๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On homeomorphisms of the plane which have no fixed points

โœ Scribed by Stephen A. Andrea

Book ID
112966157
Publisher
Vandenhoeck & Ruprecht
Year
1967
Tongue
German
Weight
712 KB
Volume
30
Category
Article
ISSN
0025-5858

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

Combinatorial Proofs of the Conley-Zehnd
Combinatorial Proofs of the Conley-Zehnder-Franks Theorem on a Fixed Point for Torus Homeomorphisms
โœ S. Alpern; V.S. Prasad ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 428 KB

We give two combinatorial proofs of Franks' Theorem, that an area preserving torus homeomorphism with mean rotation zero has a fixed point. The first proof uses Lax's version of the Marriage Theorem. The second proof uses Euler's Theorem on circuits in graphs and an explicit method of Alpern for dec

Common Fixed Points of Commuting Holomor
Common Fixed Points of Commuting Holomorphic Maps of the Polydisc Which are Expanding on the Torus
โœ Roberto Tauraso ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 280 KB

Let F and G be two holomorphic maps of the unit polydisc for i=1, ..., n] which are continuous on the closure 2 n of 2 n . According to A. L. Shields [17] (for n=1), D. J. Eustice [4] (for n=2) and L. F. Heath and T. J. Suffridge [8] (for any finite n 1), if F and G commute under composition, they