2021-09-26T01:01:46Zhttps://tsukuba.repo.nii.ac.jp/oaioai:tsukuba.repo.nii.ac.jp:000159102021-03-02T00:57:05ZAn approximate resolution of the product with a compact factorUglesic, NikicaMatijevic, VlastaFpr any given approximate resolution P={Pna⊂Λ}: X→X-(Xα、Uα, Pαα', A) of topological space X, where X is uniform. all Xα are paracompact, all Uα are locally finite and A in confinte, and any given compact Hausdorff space Y, the approximate resolution r=P×={rф=Pα×b=(a, φ)∈B}: X×→X×=(Xα×, Uα×[Uα], Pαα'×, B) of the product space X× is constructed. Here, the indexing set B is obrainted by means of the set A and certain subfamilies of ф(a)={φφ:Uα→Cov(Y)}, a∈A, while the mesh Uα×[Uα] is a stacked covering of Xα× over Uα.Institute of Mathematics, University of Tsukuba1992-06jpndepartmental bulletin paperhttp://hdl.handle.net/2241/7322https://tsukuba.repo.nii.ac.jp/records/1591003874982AA00874643Tsukuba journal of mathematics1617584https://tsukuba.repo.nii.ac.jp/record/15910/files/6.pdfapplication/pdf704.7 kB2013-12-19