
A tiling of a topological space X is a covering of X by sets (called tiles) which are the closures of their pairwise‐disjoint interiors. Tilings of ℝ2 have received considerable attention (see [2] for a wealth of interesting examples and results as well as an extensive bibliography). On the other hand, the study of tilings of general topological spaces is just beginning (see [1, 3, 4, 6]). We give some generalizations for topological spaces of some results known for certain classes of tilings of topological vector spaces.
topological space, vertices., Basic constructions in general topology, singular points, facets, Geometry and structure of normed linear spaces, Baire category, Baire spaces, QA1-939, Tilings in \(n\) dimensions (aspects of discrete geometry), Tiling, Mathematics, star-finite tiling
topological space, vertices., Basic constructions in general topology, singular points, facets, Geometry and structure of normed linear spaces, Baire category, Baire spaces, QA1-939, Tilings in \(n\) dimensions (aspects of discrete geometry), Tiling, Mathematics, star-finite tiling
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