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The group of ๐‘ƒ๐ฟ-homeomorphisms of a compact ๐‘ƒ๐ฟ-manifold is an 1^{๐‘“}โ‚‚-manifold

The group of ๐‘ƒ๐ฟ-homeomorphisms of a compact ๐‘ƒ๐ฟ-manifold is an 1^{๐‘“}โ‚‚-manifold

In this paper it is shown that if <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper M"> <mml:semantics> <mml:mi>M</mml:mi> <mml:annotation encoding="application/x-tex">M</mml:annotation> </mml:semantics> </mml:math> </inline-formula> is a compact PL-manifold and <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper H Subscript upper P upper L Baseline left-parenthesis upper M right-parenthesis"> <mml:semantics> <mml:mrow> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msub> <mml:mi>H</mml:mi> <mml:mrow class="MJX-TeXAtom-ORD"> โ€ฆ