Tilings in topological spaces

International Journal of Mathematics and Mathematical Sciences

卷:22

F. G. Arenas¹ 

[1] Department of Geometry and Topology, Faculty of Sciences, Universidad de Almería, Almería 04071, Spain;

关键词: Tiling;    topological space;    star-finite tiling;    singular points;    facets;    vertices.;   

DOI  :  10.1155/S0161171299226117

来源: DOAJ

【 摘 要 】

A tiling of a topological space X is a covering of X by sets (called tiles) which are the closures of theirpairwise-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.

【 授权许可】

Unknown