Retral spaces and continua with the fixed point property
Commentationes Mathematicae Universitatis Carolinae, Tome 47 (2006) no. 4, pp. 661-668
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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.
Classification :
54C15, 54D05, 54F15, 54H11
Keywords: retraction; homogeneous space; topological groups; coset space
Keywords: retraction; homogeneous space; topological groups; coset space
@article{CMUC_2006__47_4_a10,
author = {van Mill, J. and Ridderbos, G. J.},
title = {Retral spaces and continua with the fixed point property},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {661--668},
publisher = {mathdoc},
volume = {47},
number = {4},
year = {2006},
mrnumber = {2337420},
zbl = {1150.54014},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_2006__47_4_a10/}
}
TY - JOUR AU - van Mill, J. AU - Ridderbos, G. J. TI - Retral spaces and continua with the fixed point property JO - Commentationes Mathematicae Universitatis Carolinae PY - 2006 SP - 661 EP - 668 VL - 47 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CMUC_2006__47_4_a10/ LA - en ID - CMUC_2006__47_4_a10 ER -
van Mill, J.; Ridderbos, G. J. Retral spaces and continua with the fixed point property. Commentationes Mathematicae Universitatis Carolinae, Tome 47 (2006) no. 4, pp. 661-668. http://geodesic.mathdoc.fr/item/CMUC_2006__47_4_a10/