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An alternative proof of M. Brown's theorem on inverse sequences of near homeomorphisms

Part of the Lecture Notes in Mathematics book series (LNM,volume 1283)

Abstract

Theorem 4 of [B] is an interesting and useful result about inverse sequences of near homeomorphisms. We present a short alternative proof of this theorem. We thank Bob Daverman for a suggestion which has led to a slicker exposition.

This paper is in final form and no version of it will be submitted for publication elsewhere. Partially supported by a grant from the National Science Foundation.

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Reference

  1. M. Brown, Some applications of an approximation theorem for inverse limits, Proc. Amer. Math. Soc. 11 (1960), 478–481.

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© 1987 Springer-Verlag

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Ancel, F.D. (1987). An alternative proof of M. Brown's theorem on inverse sequences of near homeomorphisms. In: Mardešić, S., Segal, J. (eds) Geometric Topology and Shape Theory. Lecture Notes in Mathematics, vol 1283. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0081413

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  • DOI: https://doi.org/10.1007/BFb0081413

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18443-0

  • Online ISBN: 978-3-540-47975-8

  • eBook Packages: Springer Book Archive