The group of $PL$-homeomorphisms of a compact $PL$-manifold is an $1^{f}_{2}$-manifold
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- by James Keesling and David C. Wilson PDF
- Trans. Amer. Math. Soc. 193 (1974), 249-256 Request permission
Abstract:
In this paper it is shown that if $M$ is a compact PL-manifold and ${H_{PL}}(M)$ is the group of PL-homeomorphisms of $M$ onto itself, then ${H_{PL}}(M)$ is an $l_2^f$-manifold. Here ${l_2}$ is the Hilbert space of all real-valued square-summable sequences and $l_2^f = \{ ({x_i}) \in {l_2}:{x_i} = 0$ for almost all $i$.References
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Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 193 (1974), 249-256
- MSC: Primary 57E05; Secondary 57A20
- DOI: https://doi.org/10.1090/S0002-9947-1974-0368046-9
- MathSciNet review: 0368046