A NEW CHARACTERIZATION OF AR(M) AND ANR(m)

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چکیده

The AR(yïl) spaces have been characterized as the r-images of convex sets in normed linear spaces, and the ANR(3K) spaces as the r-images of open subsets of such sets. (The r-images of a space correspond to the retracts of the space. See Borsuk [l ] for proofs of most of the results referred to here.) In this paper we present new characterizations of these spaces. The characterizations yield some interesting new results, as well as clarifications and new proofs of older results.

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تاریخ انتشار 2007