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On the G-spaces having an \({\mathcal S}\)-G-CW-approximation by a G-CW-complex of finite G-type. (English) Zbl 0545.57013

From the author’s abstract: Let G be a compact Lie group and \({\mathcal S}\) a set of G-isotropy types, i.e., a set of conjugacy classes of closed subgroups of the group G. The notion of an \({\mathcal S}\)-G-CW-approximation of a G-space is given and the existence theorem is proved.
Reviewer: H.-T.Ku

MSC:

57S10 Compact groups of homeomorphisms
57S99 Topological transformation groups
54H15 Transformation groups and semigroups (topological aspects)
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