- 期刊
ON G-FINITISTIC SPACES AND FIELATED NOTIONS
摘要
Let X be a C-space where G is a topological group. We show that X is G-finitistic iff the orbit space X/G is finitistic. This result allows us to answer a question raised in [5] asking for an equivariant characterization of a non-finitistic C-space where G is a compact Lie group. For an arbitrary compact group G a simple characterization of G-finitistic spaces has been obtained in terms of new notions of C-compactness and C-dimension.
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