Strongly regular mappings with ANRfibers and shape - Project Euclid
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Strongly regular mappings with ANRfibers and shape - Project Euclid
May 26, 1981 - natural bijection $\Phi:[Y, E]_{q.p}arrow\langle Y, E\rangle_{q,p}$ , where $[Y, ... between compacta which are not shape fibrations ($e$ . $g$ .
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$Math$ Soc. Japan Vol. 35, No. 2, 1983
J.
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Strongly regular mappings with ANR fibers and shape By Hisao KATO (Received May 26, 1981) (Revised Dec. 22, 1981)
1. Introduction. In [7], we defined the fiber shape category $FR_{B}$ which is shape theoretic category analogous to the fiber homotopy category and studied the category $FR_{B}$ . this paper, we study some properties of strongly regular mappings with ANR fibers in $FR_{B}$ . We first prove the following. (i) Let $E,$ be compacta and dim $B
