Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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ON THE CHARACTERIZATION OF F0-SPACES

  • Mahmoud Benkhalifa (Department of Mathematics Faculty of Sciences University of Sharjah)
  • Received : 2022.06.15
  • Accepted : 2022.09.21
  • Published : 2023.04.30
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Abstract

Let X be a simply connected rationally elliptic space such that H2(X; ℚ) ≠ 0. In this paper, we show that if H2n(X[2n-2]; ℚ) = 0 or if π2n(X2n) ⊗ ℚ = 0 for all n, then X is an F0-space.

Keywords

Acknowledgement

The author is deeply grateful to the referee for a careful reading of the article and for valuable suggestions which greatly improved the manuscript.

References

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