Fixed point and non-retract theorems - Classical circular tours

Authors
Citation
S. Park et Ks. Jeong, Fixed point and non-retract theorems - Classical circular tours, TAIWAN J M, 5(1), 2001, pp. 97-108
Citations number
30
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Mathematics
Journal title
TAIWANESE JOURNAL OF MATHEMATICS
ISSN journal
1027-5487 → ACNP
Volume
5
Issue
1
Year of publication
2001
Pages
97 - 108
Database
ISI
SICI code
1027-5487(200103)5:1<97:FPANT->2.0.ZU;2-M
Abstract
We show that the Brouwer fixed point theorem is equivalent to a number of r esults closely related to the Euclidean spaces or n-simplexes or n-balls. A mong them are the Sperner lemma, the KKM theorem, some intersection theorem s, various fixed point theorems, an intermediate value theorem, various non -retract theorems, the non-contractibility of spheres, and others.