Memoirs of the Graduate School of Science and Engineering, Shimane University. Series B, Mathematics

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Memoirs of the Graduate School of Science and Engineering, Shimane University. Series B, Mathematics 39
2006-03 発行

Fibrewise ANR of fiberwise mapping-spaces

Guo, Bao-Lin
Miwa, Takuo
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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}.