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ArticleOriginal scientific text

Title

Exactly two-to-one maps from continua onto arc-continua

Authors 1, 2, 1

Affiliations

  1. Institute of Mathematics, Silesian University, Bankowa 14, 40-007 Katowice, Poland
  2. Department of Mathematics, Auburn University, Alabama 36849-5310, U.S.A.

Abstract

Continuing studies on 2-to-1 maps onto indecomposable continua having only arcs as proper non-degenerate subcontinua - called here arc-continua - we drop the hypothesis of tree-likeness, and we get some conditions on the arc-continuum image that force any 2-to-1 map to be a local homeomorphism. We show that any 2-to-1 map from a continuum onto a local Cantor bundle Y is either a local homeomorphism or a retraction if Y is orientable, and that it is a local homeomorphism if Y is not orientable.

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Additional information

http://matwbn.icm.edu.pl/ksiazki/fm/fm150/fm15022.pdf

Fundamenta Mathematicae
1996/150/2
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Pages:
113-126
Main language of publication
English
Received
1993-11-30
Accepted
1995-12-01
Published
1996
Exact and natural sciences