A note on the categorical van Kampen Theorem |
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Authors: | Maria Manuel Clementino |
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Affiliation: | Departamento de Matemática, Universidade de Coimbra, 3001-454 Coimbra, Portugal |
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Abstract: | ![]() In this note we show that for the canonical map X1+X2→X, from the topological sum of two subspaces X1, X2 of X into X, to be of effective descent it is sufficient to be hereditarily a quotient map. Further, making use of the Brown-Janelidze categorical van Kampen Theorem, this translates into a van Kampen-type result. |
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Keywords: | 54B15 54B30 54C10 18B30 |
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