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A note on the categorical van Kampen Theorem
Authors:Maria Manuel Clementino
Affiliation:Departamento de Matemática, Universidade de Coimbra, 3001-454 Coimbra, Portugal
Abstract:
In this note we show that for the canonical map X1+X2X, 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.
Keywords:54B15   54B30   54C10   18B30
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