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ArticleOriginal scientific text

Title

Continuous decompositions of Peano plane continua into pseudo-arcs

Authors 1

Affiliations

  1. Institute of Mathematics, Opole University, Oleska 48, 45-052 Opole, Poland

Abstract

Locally planar Peano continua admitting continuous decomposition into pseudo-arcs (into acyclic curves) are characterized as those with no local separating point. This extends the well-known result of Lewis and Walsh on a continuous decomposition of the plane into pseudo-arcs.

Keywords

ENG
continuous decomposition, locally connected continuum, local separating point, open homogeneity, pseudo-arc, 2-manifold

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Fundamenta Mathematicae
1998/158/1
Export to PBN, Opens in new tab
Pages:
23-40
Main language of publication
English
Received
1996-12-11
Accepted
1997-11-18
Published
1998
Exact and natural sciences