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島根大学総合理工学部紀要. シリーズB Volume 39
published_at 2006-03
Fibrewise ANR of fiberwise mapping-spaces
Guo Bao-Lin
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In this paper, we prove that some fibrewise mapping-spaces map_B(X, Y) over a stratifiable space B are stratifiable spaces, and further, if Y is in ANR_B(S_B), then map_B(X, Y) is also in ANR_B(S_B), where the fibrewise class S_B = {(X, p) p : X → B, X is stratifiable}.
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