Geodesic
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.
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 
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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/