Tilings in topological spaces

F. G. Arenas

International Journal of Mathematics and Mathematical Sciences, 1999, vol. 22, 1-6

Abstract:

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 ℝ 2 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.

Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:957386

DOI: 10.1155/S0161171299226117

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