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The Cohomology of (Λ2X, ΔX)

Published online by Cambridge University Press:  20 November 2018

Lawrence L. Larmore*
Affiliation:
California State College, Dominguez Hills, California
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Let X be any connected C.W. complex. Let Λ2X be the 2-fold symmetric product of X, the set of unordered pairs (not necessarily distinct) of elements of X. Let ΔX ⊂ X2 be the diagonal, and also (by a slight abuse of notation) let ΔX ⊂ Λ2X also denote the set of unordered pairs {x, x}.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1973

References

1. Dold, A., Homology of symmetric products and other functors of complexes, Ann. of Math. 68 (1958), 5480.Google Scholar
2. Haefliger, A., Plongements differentiable dans le domaine stable, Comment. Math. Helv. 37 (1963), 155176.Google Scholar