Albanian Journal of Mathematics (ISNN: 1930-1235), Vol 3, No 2 (2009)

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A note on light induced mappings

Ivan Loncar

Abstract


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).

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