On G -finitistic spaces and related notions

Satya Deo and Janak Singh Andotra

International Journal of Mathematics and Mathematical Sciences, 1992, vol. 15, 1-8

Abstract:

Let X be a G -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 G -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 G -compactness and G -dimension.

Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:318632

DOI: 10.1155/S0161171292000486

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