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On \(c\)-homotopies - MaRDI portal

On \(c\)-homotopies (Q1374516)

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scientific article; zbMATH DE number 1095838
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English
On \(c\)-homotopies
scientific article; zbMATH DE number 1095838

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    On \(c\)-homotopies (English)
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    10 December 1997
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    The author introduces an interesting notion of \(c\)-homotopy. The definition is the same as the usual one, only continuity is replaced by connectedness. Generalizing the Darboux property, the author calls a mapping to be connected if it sends connected sets onto connected sets. In the paper, the author shows that the \(c\)-homotopy has some reasonable properties analogous to those of usual homotopy.
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    Darboux property
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    connected mapping
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    \(c\)-homotopy
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