Classification of dicoverings

Publikation: Bog/antologi/afhandling/rapportRapportForskning

161 Downloads (Pure)

Resumé

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.

OriginalsprogEngelsk
Udgivelses stedAalborg
ForlagDepartment of Mathematical Sciences, Aalborg University
Antal sider18
StatusUdgivet - 2009
NavnResearch Report Series
NummerR-2009-13
ISSN1399-2503

Fingerprint

D-space
Interval
Congruence Relation
Universal Space
Topological space
Regular hexahedron
Quotient

Citer dette

Fajstrup, L. (2009). Classification of dicoverings. Aalborg: Department of Mathematical Sciences, Aalborg University. Research Report Series, Nr. R-2009-13
Fajstrup, Lisbeth. / Classification of dicoverings. Aalborg : Department of Mathematical Sciences, Aalborg University, 2009. 18 s. (Research Report Series; Nr. R-2009-13).
@book{0e00b9507a7e11de9240000ea68e967b,
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.",
author = "Lisbeth Fajstrup",
year = "2009",
language = "English",
publisher = "Department of Mathematical Sciences, Aalborg University",

}

Fajstrup, L 2009, Classification of dicoverings. Research Report Series, nr. R-2009-13, Department of Mathematical Sciences, Aalborg University, Aalborg.

Classification of dicoverings. / Fajstrup, Lisbeth.

Aalborg : Department of Mathematical Sciences, Aalborg University, 2009. 18 s. (Research Report Series; Nr. R-2009-13).

Publikation: Bog/antologi/afhandling/rapportRapportForskning

TY - RPRT

T1 - Classification of dicoverings

AU - Fajstrup, Lisbeth

PY - 2009

Y1 - 2009

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.

M3 - Report

BT - Classification of dicoverings

PB - Department of Mathematical Sciences, Aalborg University

CY - Aalborg

ER -

Fajstrup L. Classification of dicoverings. Aalborg: Department of Mathematical Sciences, Aalborg University, 2009. 18 s. (Research Report Series; Nr. R-2009-13).