J. van Mill, G.J. Ridderbos
Retral spaces and continua with the fixed point property

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.

Keywords: retraction, homogeneous space, topological groups, coset space
AMS Subject Classification: 54C15, 54H11

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