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Normality in generalized realizations \((R_ Y(X))\). (Spanish. English summary) Zbl 0538.55015

Summary: We build a topological space \(R_ Y(X)\) with a cosimplicial space \(Y\) and a simplicial set \(X\) copying Milnor’s realization method. The features of \(R_ Y(X)\) depend on both cosimplicial, topological structures of \(Y\) and the simplicial structure of \(X\) [cf. the first author, ”Change of models in top and \(\Delta^ 0S''\), Doctoral Thesis, Temple Univ. (1978)]. We show that there exists a general cell structure over the space \(R_ Y(X)\). The main purpose of this paper is to find conditions for the cellular space \(R_ Y(X)\) to be a normal space.

MSC:

55U10 Simplicial sets and complexes in algebraic topology
57Q05 General topology of complexes
18G30 Simplicial sets; simplicial objects in a category (MSC2010)
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