On the fixed point set of a compact transformation group with some applications to compact monoids

Hofmann, Karl Heinrich; Mislove, Michael

doi:10.1090/S0002-9947-1975-0374320-3

On the fixed point set of a compact transformation group with some applications to compact monoids
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by Karl Heinrich Hofmann and Michael Mislove PDF

Trans. Amer. Math. Soc. 206 (1975), 137-162 Request permission

Abstract:

Under various special additional hypotheses we prove that the fixed point set of the group of inner automorphisms of a compact connected monoid with zero is connected.

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