科研之友
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摘要
Let a mapping f:X↙Y between continua X and Y be given. We shall prove: a) if the induced mapping 2^{f}:2^{X}↙2^{Y} is light, then w(X)=w(Y). In particular, if Y is metrizable, then X is metrizable, b) if the induced mapping C(f):C(X)↙C(Y) is light and X is a D-continuum, then w(X)=w(Y).
- 出版日期2009
