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Constructing $ UV\sp k$-maps between spheres


Author: Steven C. Ferry
Journal: Proc. Amer. Math. Soc. 120 (1994), 329-332
MSC: Primary 57Q99; Secondary 57N60
DOI: https://doi.org/10.1090/S0002-9939-1994-1166355-5
MathSciNet review: 1166355
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Abstract | References | Similar Articles | Additional Information

Abstract: The purpose of this note is to give a quick proof of an extremely counterintuitive theorem of Bestvina, Walsh, and Wilson. The theorem says, for example, that the degree $ 2$ map $ {d_2}:{S^3} \to {S^3}$ is homotopic to a map such that $ {p^{ - 1}}(x)$ is connected for each $ x \in {S^3}$.


References [Enhancements On Off] (What's this?)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1994-1166355-5
Keywords: Space-filling curve, $ U{V^k}$-map, cell-like map
Article copyright: © Copyright 1994 American Mathematical Society

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