International Journal of Mathematics and Mathematical Sciences (Jan 1992)

On G-finitistic spaces and related notions

  • Satya Deo,
  • Janak Singh Andotra

DOI
https://doi.org/10.1155/S0161171292000486
Journal volume & issue
Vol. 15, no. 2
pp. 371 – 378

Abstract

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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.

Keywords