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Equivariant covering spaces and homotopy covering spaces

Costenoble, Steven R. and Waner, Stefan (2002) Equivariant covering spaces and homotopy covering spaces. Steven R. Costenoble.

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Abstract

Nonequivariantly, covering spaces over a connected (locally nice) space X are in one-to-one correspondence with actions of the fundamental group of X on discrete sets. For nonconnected spaces we consider instead actions of the fundamental groupoid. In this paper we generalize to the equivariant case, showing that we can use either of two possible notions of action of the equivariant fundamental groupoid. We consider both equivariant covering spaces and the more general notion of equivariant homotopy covering spaces.

Item Type:Other
Uncontrolled Keywords:equivariant covering spaces fundamental groupoid
Subjects:Q Science > Q Science (General)
Q Science > QA Mathematics
ID Code:29
Deposited By:Admin HofPrints
Deposited On:03 January 2006

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