Higher-dimensional book-spaces

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Detalles Bibliográficos
Autor principal:	Aten, Charlotte
Formato:	Preprint
Publicado:	2024
Materias:	Rings and Algebras Combinatorics 06B30, 57Q99
Acceso en línea:	Acceder al recurso
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_version_	1866929506642558976
author	Aten, Charlotte
author_facet	Aten, Charlotte
contents	In 2017, Walter Taylor showed that there exist $2$-dimensional simplicial complexes which admit the structure of topological modular lattice but not topological distributive lattice. We give a positive answer to his question as to whether $n$-dimensional simplicial complexes with the same property exist. We do this by giving, for each $n\ge2$, an infinite family of compact simplicial complexes which admit the structure of topological modular lattice but not topological distributive lattice.
format	Preprint
id	arxiv_https___arxiv_org_abs_2409_12923
institution	arXiv
publishDate	2024
record_format	arxiv
spellingShingle	Higher-dimensional book-spaces Aten, Charlotte Rings and Algebras Combinatorics 06B30, 57Q99 In 2017, Walter Taylor showed that there exist $2$-dimensional simplicial complexes which admit the structure of topological modular lattice but not topological distributive lattice. We give a positive answer to his question as to whether $n$-dimensional simplicial complexes with the same property exist. We do this by giving, for each $n\ge2$, an infinite family of compact simplicial complexes which admit the structure of topological modular lattice but not topological distributive lattice.
title	Higher-dimensional book-spaces
topic	Rings and Algebras Combinatorics 06B30, 57Q99
url	https://arxiv.org/abs/2409.12923

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