The properties and applications of relative retracts

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The properties and applications of relative retracts

Ślosarski, Mirosław

Journal of fixed point theory and applications, 12/2016, Volume: 18, Issue: 4

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In this paper, we present relative retracts and we can say that these are multilevel retracts which either retain given properties depending on the level or not. Some properties are constant and are present on every level. These properties are especially important in regard to the theory of coincidence. The class of relative retracts consists of retracts in the sense of Borsuk, multiretracts and many fundamental retracts.

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Ślosarski, Mirosław

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