The extension problem for functions invariant under a group Public Deposited

http://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/n009w581m

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  • Consider a transformation group G operating on a space X and a G- invariant function f defined on a G- invariant subset of X. By imposing suitable conditions on X, G, f and A, the author derives sufficient conditions for extending f invariantly to the whole space, and thus generalizing the classical Tietze extension theorem.
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