A fixed-point anomaly in the plane

• Autorzy: Charles L. Hagopian , Janusz R. Prajs
• Języki publikacji: EN

Abstrakty

EN

We define an unusual continuum M with the fixed-point property in the plane ℝ². There is a disk D in ℝ² such that M ∩ D is an arc and M ∪ D does not have the fixed-point property. This example answers a question of R. H. Bing. The continuum M is a countable union of arcs.

Kategorie tematyczne

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

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2005
• Tom: 186
• Numer: 3
• Strony: 233-249

Daty

wydano

2005

Twórcy

autor

Charles L. Hagopian

• Department of Mathematics, California State University, Sacramento, Sacramento, CA 95819-6051, U.S.A.

autor

Janusz R. Prajs

• Department of Mathematics, California State University, Sacramento, Sacramento, CA 95819-6051, U.S.A.
• Institute of Mathematics and Informatics, Opole University, Oleska 48, Opole, Poland

Identyfikatory

DOI

10.4064/fm186-3-3