島根大学総合理工学研究科
ISSN:1342-7121
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Use this link to cite this item : https://ir.lib.shimane-u.ac.jp/5896
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}.
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