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Finite approximations to Cech homology

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2001

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Elsevier Science B.V. (North-Holland)
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Giraldo, A., Alonso Morón, M., Romero Ruiz Del Portal, F., Rodríguez Sanjurjo, J. M. «Finite Approximations to Čech Homology». Journal of Pure and Applied Algebra, vol. 163, n.o 1, septiembre de 2001, pp. 81-92. DOI.org (Crossref), https://doi.org/10.1016/S0022-4049(00)00158-4.

Abstract

We show in this paper how to represent intrinsically Cech homology of compacta, in terms of inverse limits of discrete approximations. We establish some relations between inverse limits and non-continuous homotopies and, as a consequence, we get a strong form of the classical continuity property of Cech homology.

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