Tilings in topological spaces
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 ha...
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| Format: | Article |
| Language: | English |
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Wiley
1999-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171299226117 |
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| _version_ | 1832554902397648896 |
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| author | F. G. Arenas |
| author_facet | F. G. Arenas |
| author_sort | F. G. Arenas |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-3f4fe9912e4c46e0b14605d6887cf219 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1999-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-3f4fe9912e4c46e0b14605d6887cf2192025-02-03T05:50:08ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251999-01-0122361161610.1155/S0161171299226117Tilings in topological spacesF. G. Arenas0Department of Geometry and Topology, Faculty of Sciences, Universidad de Almería, Almería 04071, SpainA 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.http://dx.doi.org/10.1155/S0161171299226117Tilingtopological spacestar-finite tilingsingular pointsfacetsvertices. |
| spellingShingle | F. G. Arenas Tilings in topological spaces International Journal of Mathematics and Mathematical Sciences Tiling topological space star-finite tiling singular points facets vertices. |
| title | Tilings in topological spaces |
| title_full | Tilings in topological spaces |
| title_fullStr | Tilings in topological spaces |
| title_full_unstemmed | Tilings in topological spaces |
| title_short | Tilings in topological spaces |
| title_sort | tilings in topological spaces |
| topic | Tiling topological space star-finite tiling singular points facets vertices. |
| url | http://dx.doi.org/10.1155/S0161171299226117 |
| work_keys_str_mv | AT fgarenas tilingsintopologicalspaces |