Arenas, F.; Puertas, M. (2002). Fenestrations induced by perfect tilings. Applied General Topology. 3(1):77-84. https://doi.org/10.4995/agt.2002.2114
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/82021
Title:
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Fenestrations induced by perfect tilings
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Author:
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Arenas, F.G.
Puertas, M.L.
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Issued date:
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Abstract:
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[EN] In this paper we study those regular fenestrations (as defined by Kronheimer in [3]) that are obtained from a tiling of a topological space. Under weak conditions we obtain that the canonical grid is also the minimal ...[+]
[EN] In this paper we study those regular fenestrations (as defined by Kronheimer in [3]) that are obtained from a tiling of a topological space. Under weak conditions we obtain that the canonical grid is also the minimal grid associated to each tiling and we prove that it is a T0-Alexandroff semirregular trace space. We also present some examples illustrating how the properties of the grid depend on the properties of the tiling and we pose some questions. Finally we study the topological properties of the grid depending on the properties of the space and the tiling.
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Subjects:
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Fenestration
,
Tiling
,
Grid
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Trace spaces
,
Lower semicontinuous decomposition
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Copyrigths:
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Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
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Source:
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Applied General Topology. (issn:
1576-9402
) (eissn:
1989-4147
)
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DOI:
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10.4995/agt.2002.2114
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Publisher:
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Universitat Politècnica de València
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Publisher version:
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https://doi.org/10.4995/agt.2002.2114
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Project ID:
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info:eu-repo/grantAgreement/MICYT//BFM2000-1111/
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Thanks:
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The authors are supported by grant BFM 2000-1111 from Spanish Ministry of Science and Technology
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Type:
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Artículo
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