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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

The group of $ PL$-homeomorphisms of a compact $ PL$-manifold is an $ 1\sp{f}\sb{2}$-manifold


Authors: James Keesling and David C. Wilson
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
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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.


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DOI: https://doi.org/10.1090/S0002-9947-1974-0368046-9
Keywords: PL-manifold, PL-homeomorphism, $ l_2^f$-manifold
Article copyright: © Copyright 1974 American Mathematical Society