Classification of dicoverings

Lisbeth Fajstrup

doi:10.1016/j.topol.2010.07.020

Classification of dicoverings

Lisbeth Fajstrup

Department of Mathematical Sciences

Research output: Contribution to journal › Journal article › Research › peer-review

2 Citations (Scopus)

Abstract

The dicoverings of a “well pointed” d-space are classified as quotients of the universal dicovering space under congruence relations. We prove that the subcategory of d-spaces generated by the subcategory of directed cubes is equal to the category generated by the interval and the directed interval. Similarly, the category of topological spaces generated by simplices may be generated by the interval.

Original language	English
Journal	Topology and Its Applications
Volume	157
Issue number	15
Pages (from-to)	2402-2412
Number of pages	11
ISSN	0166-8641
DOIs	https://doi.org/10.1016/j.topol.2010.07.020
Publication status	Published - 2010

Keywords

directed homotopy
generated category
universal dicovering
quotient
cubical
simplex

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title = "Classification of dicoverings",

abstract = "The dicoverings of a “well pointed” d-space are classified as quotients of the universal dicovering space under congruence relations. We prove that the subcategory of d-spaces generated by the subcategory of directed cubes is equal to the category generated by the interval and the directed interval. Similarly, the category of topological spaces generated by simplices may be generated by the interval. ",

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T1 - Classification of dicoverings

AU - Fajstrup, Lisbeth

PY - 2010

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N2 - The dicoverings of a “well pointed” d-space are classified as quotients of the universal dicovering space under congruence relations. We prove that the subcategory of d-spaces generated by the subcategory of directed cubes is equal to the category generated by the interval and the directed interval. Similarly, the category of topological spaces generated by simplices may be generated by the interval.

AB - The dicoverings of a “well pointed” d-space are classified as quotients of the universal dicovering space under congruence relations. We prove that the subcategory of d-spaces generated by the subcategory of directed cubes is equal to the category generated by the interval and the directed interval. Similarly, the category of topological spaces generated by simplices may be generated by the interval.

KW - directed homotopy

KW - generated category

KW - universal dicovering

KW - quotient

KW - cubical

KW - simplex

U2 - 10.1016/j.topol.2010.07.020

DO - 10.1016/j.topol.2010.07.020

M3 - Journal article

SN - 0166-8641

VL - 157

SP - 2402

EP - 2412

JO - Topology and Its Applications

JF - Topology and Its Applications

IS - 15

ER -

Classification of dicoverings

Abstract

Keywords

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