Retral spaces and continua with the fixed point property

Jan van Mill; G. J. Ridderbos

Commentationes Mathematicae Universitatis Carolinae (2006)

  • Volume: 47, Issue: 4, page 661-668
  • ISSN: 0010-2628

Abstract

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We show that every retral continuum with the fixed point property is locally connected. It follows that an indecomposable continuum with the fixed point property is not a retract of a topological group.

How to cite

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van Mill, Jan, and Ridderbos, G. J.. "Retral spaces and continua with the fixed point property." Commentationes Mathematicae Universitatis Carolinae 47.4 (2006): 661-668. <http://eudml.org/doc/249862>.

@article{vanMill2006,
abstract = {We show that every retral continuum with the fixed point property is locally connected. It follows that an indecomposable continuum with the fixed point property is not a retract of a topological group.},
author = {van Mill, Jan, Ridderbos, G. J.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {retraction; homogeneous space; topological groups; coset space; retraction; homogeneous space; topological groups; coset space},
language = {eng},
number = {4},
pages = {661-668},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Retral spaces and continua with the fixed point property},
url = {http://eudml.org/doc/249862},
volume = {47},
year = {2006},
}

TY - JOUR
AU - van Mill, Jan
AU - Ridderbos, G. J.
TI - Retral spaces and continua with the fixed point property
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2006
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 47
IS - 4
SP - 661
EP - 668
AB - We show that every retral continuum with the fixed point property is locally connected. It follows that an indecomposable continuum with the fixed point property is not a retract of a topological group.
LA - eng
KW - retraction; homogeneous space; topological groups; coset space; retraction; homogeneous space; topological groups; coset space
UR - http://eudml.org/doc/249862
ER -

References

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