Some function spaces of CW type
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- by Peter J. Kahn PDF
- Proc. Amer. Math. Soc. 90 (1984), 599-607 Request permission
Abstract:
J. Milnor’s result on the CW type of certain function spaces ${\operatorname {map}}\left ( {X,Y} \right )$ is extended to allow the case in which $X$ has a finite $k$-skeleton and ${\pi _i}Y = 0$, $i > k$. One conclusion is that the self-equivalence monoid of any Postnikov stage of a finite complex has CW type. Another is that the monoid of pointed self-equivalences of a $K\left ( {\pi ,1} \right )$ manifold has contractible components when $\pi$ is finitely-generated.References
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Additional Information
- © Copyright 1984 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 90 (1984), 599-607
- MSC: Primary 55P99; Secondary 54E60
- DOI: https://doi.org/10.1090/S0002-9939-1984-0733413-X
- MathSciNet review: 733413