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Homeomorphisms of the sphere and a generalization of the Whyburn conjecture for compact connected manifolds with boundary. (English) Zbl 0644.57008

The author proves some known results (e.g. any auto-homeomorphism of a disc \(D^ n\) being identity on \(\partial D^ n\) is isotopic (mod \(\partial D^ n)\) to identity) and states some new results (e.g. a generalization of the Whyburn conjecture).
Reviewer: J.Przytycki

MSC:

57N37 Isotopy and pseudo-isotopy
57N05 Topology of the Euclidean \(2\)-space, \(2\)-manifolds (MSC2010)
57R50 Differential topological aspects of diffeomorphisms
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