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Mod 2 degree and a generalized No Retraction Theorem

✍ Scribed by Ethan D. Bloch

Book ID
102493844
Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
102 KB
Volume
279
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

We provide elementary proofs of generalized versions of the No Retraction Theorem and Sperner's Lemma, and a simple definition of mod 2 degree of certain maps. (Β© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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Absolute retracts and a general fixed po
Absolute retracts and a general fixed point theorem for fuzzy sets
✍ Phil Diamond; Peter Kloeden; Aleksej Pokrovskii πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 235 KB

The space of fuzzy sets on a compact metric space, with the sendograph metric for fuzzy sets, is shown to have the fixed point property. The relationship between absolute retracts and spaces of fuzzy sets is demonstrated. @