2 3 D ec 1 99 9 CONTINUOUS SELECTIONS WITH RESPECT TO EXTENSION DIMENSION
نویسنده
چکیده
Let L be finite CW complex. By [L] we denote extension type of L. The following generalization of Michael’s selection theorem is proved: Theorem. Consider [L] ≤ [S]. Let F be a lower semi-continuous map between polish space X and metrizable compactum Y , such that ed(X) ≤ [L], F is equi-LC collection and F (x) ∈ AE([L]) for any x ∈ X. Let A be a closed subset of X such that there exists a continuous selection f : A → Y of F |A. Then F admits a continuous selection f̄ which extends f .
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تاریخ انتشار 1999