The topological fixed point property - an elementary continuum-theoretic approach

• Autorzy: Roman Mańka
• Języki publikacji: EN

Abstrakty

EN

A set contained in a topological space has the topological fixed point property if every continuous mapping of the set into itself leaves some point fixed. In 1969, R. H. Bing published his article The Elusive Fixed Point Property, posing twelve intriguing and difficult problems, which exerted a great influence on the study of the fixed point property. We now present a survey article intended for a broad audience that reports on this area of fixed point theory. The exposition is also intended to give an introduction to the current study of the fixed point property from the viewpoint of an elementary continuum theory.

Kategorie tematyczne

• 54F15: Continua and generalizations
• 54H25: Fixed-point and coincidence theorems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2007
• Tom: 77
• Numer: 1
• Strony: 183-200

Daty

wydano

2007

Twórcy

autor

Roman Mańka

• Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, P.O.B. 21, 00-956 Warsaw, Poland

Identyfikatory

DOI

10.4064/bc77-0-14