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Mathematics
$\varepsilon$-retracts, $Q$-manifolds, and fixed points
P. V. Chernikov Novosibirsk State University, 1 Pirogov Street, Novosibirsk 630090, Russia
Abstract:
A generalization of one of the Noguchi fixed point theorems is presented. We prove that there exists a compact noncollapsible acyclic $Q$-manifold with the fixed point property. A topological space with the fixed point $\sigma$-property is introduced and studied and an example of a noncompact set in $R^2$ with the fixed point property is given.
Keywords:
$\varepsilon$-retract, $Q$-manifold, fixed point.
Received: 10.07.2019 Revised: 03.08.2019 Accepted: 03.09.2019
Citation:
P. V. Chernikov, “$\varepsilon$-retracts, $Q$-manifolds, and fixed points”, Mathematical notes of NEFU, 26:3 (2019), 90–97
Linking options:
https://www.mathnet.ru/eng/svfu263 https://www.mathnet.ru/eng/svfu/v26/i3/p90
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Abstract page: | 46 | Full-text PDF : | 20 |
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