Dubrovnik VI – Geometric Topology

September 30 – October 7, 2007


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Alexander Bykov
Universidad Autonoma de Puebla, Mexico

On equivariant fibrant spaces

The concept of equivariant fibrant space was introduced in [1] and was used in [2] in the construction of the equivariant strong shape category. We discuss some properties of these spaces. In particular, we show that G/H is a fibrant G-space for any compact group G and its closed subgroup H.

REFERENCES

[1] A. Bykov, M. Texis. Equivariant fibrant spaces, Glasnik Mat. 40 (2005), 323–331
[2] A. Bykov, M. Texis. Equivariant strong shape, Topology Appl. 154 (2007), 2026–2039
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