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The classical notion of twisted product is studied in the context of partialactions, in particular, we show that the globalization of a partial action is atwisted product. In addition, we establish conditions for the metrizability oftwisted products, and some homotopy and categorical properties are proved.Furthermore, sufficient conditions for the enveloping space to be anequivariant absolute neighborhood extensor are also studied.

Twisted products: Enveloping actions and equivariant absolute neighborhood extensors