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Showing 1 to 1 of 1 for “"Semi-continuous multivalued mappings"”.
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Selection theory for infinite dimensional spaces and continuous single-valued approximations to upper semi-continuous multivalued mappings
… and A is a closed subset of X and f:A —> Y is a continuous function, under what conditions is there »a continuous function fzx + Y such‘ that fIA = f ? Two key theorems of topology deal with this problem. They are the Tietze Extension A Theorem and the Brouwer No—Retraction Theorem. The first …