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Equivalent metrics and the spans of graphs

L. C. Hoehn, A. Karassev (2009)

Colloquium Mathematicae

We present a result which affords the existence of equivalent metrics on a space having distances between certain pairs of points predetermined, with some restrictions. This result is then applied to obtain metric spaces which have interesting properties pertaining to the span, semispan, and symmetric span of metric continua. In particular, we show that no two of these variants of span agree for all simple closed curves or for all simple triods.

Equivariant completions

Michael Megrelishvili (1994)

Commentationes Mathematicae Universitatis Carolinae

An important consequence of a result of Katětov and Morita states that every metrizable space is contained in a complete metrizable space of the same dimension. We give an equivariant version of this fact in the case of a locally compact σ -compact acting group.

Equivariant Gottlieb groups

Marek Golasiński, Daciberg Lima Gonçalves (2001)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

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