Birman–Hilden Bundles. I

Birman–Hilden Bundles. I

A topological fibered space is a Birman–Hilden space whenever in each isotopic pair of its fiber-preserving (taking each fiber to a fiber) self-homeomorphisms the homeomorphisms are also fiber-isotopic (isotopic through fiber-preserving homeomorphisms). We present a series of sufficient conditions f...

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Veröffentlicht in:Siberian mathematical journal 2024, Vol.65 (1), p.106-117
1. Verfasser: Malyutin, A. V.
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Sprache:eng
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Mathematics
Mathematics and Statistics
Topology
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creator Malyutin, A. V.
description A topological fibered space is a Birman–Hilden space whenever in each isotopic pair of its fiber-preserving (taking each fiber to a fiber) self-homeomorphisms the homeomorphisms are also fiber-isotopic (isotopic through fiber-preserving homeomorphisms). We present a series of sufficient conditions for a fiber bundle over the circle to be a Birman–Hilden space.
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Topology
title Birman–Hilden Bundles. I
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