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Nielsen fixed point theory for partially ordered sets

✍ Scribed by Peter Wong

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 230 KB
Volume: 110
Category: Article
ISSN: 0166-8641
DOI: 10.1016/s0166-8641(99)00182-0

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✦ Synopsis

In this paper, we introduce a Nielsen type number N * (f, P) for any selfmap f of a partially ordered set P of spaces. This Nielsen theory relates to various existing Nielsen type fixed point theories for different settings such as maps of pairs of spaces, maps of triads, fibre preserving maps, equivariant maps and iterates of maps, by exploring their underlying poset structures.

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