Fenestrations induced by perfect tilings

descriptionPublicationkeyboard_double_arrow_right Article 01 Apr 2002 Spain Publisher:Universitat Politecnica de ValenciaJournal:Applied General Topology, volume 3, page 77 (issn: 1576-9402, eissn: 1989-4147,

Copyright policy )

Authors: Arenas, F.G.; Puertas, M.L.;

doi: 10.4995/agt.2002.2114

Fenestrations induced by perfect tilings

- Summary
- Subjects
- Metrics

Abstract

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.

Country

Spain

Related Organizations

Universitat Politècnica de València
Spain
University of Almería
Spain

Keywords

QA299.6-433, Trace spaces, trace space, lower semicontinuous decomposition, grid, fenestration, Combinatorial aspects of tessellation and tiling problems, QA1-939, Tilings in \(n\) dimensions (aspects of discrete geometry), tiling, Grid, Quotient spaces, decompositions in general topology, Tiling, Fenestration, Mathematics, Analysis, Lower semicontinuous decomposition

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	0
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average