Fenestrations induced by perfect tilings | Zendy

F. G. Arenas | Zendy; María Luz Puertas | Zendy

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Fenestrations induced by perfect tilings

Author(s) -

F. G. Arenas,

María Luz Puertas

Publication year - 2002

Publication title -

applied general topology

Language(s) - English

Resource type - Journals

eISSN - 1989-4147

pISSN - 1576-9402

DOI - 10.4995/agt.2002.2114

Subject(s) - mathematics , hexagonal tiling , grid , trace (psycholinguistics) , space (punctuation) , substitution tiling , combinatorics , topological space , topology (electrical circuits) , square tiling , pure mathematics , geometry , computer science , philosophy , linguistics , operating system

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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