Classification of dicoverings

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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 languageEnglish
Place of PublicationAalborg
PublisherDepartment of Mathematical Sciences, Aalborg University
Number of pages18
Publication statusPublished - 2009
SeriesResearch Report Series
NumberR-2009-13
ISSN1399-2503

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

Cite this

Fajstrup, L. (2009). Classification of dicoverings. Aalborg: Department of Mathematical Sciences, Aalborg University. Research Report Series, No. R-2009-13
Fajstrup, Lisbeth. / Classification of dicoverings. Aalborg : Department of Mathematical Sciences, Aalborg University, 2009. 18 p. (Research Report Series; No. R-2009-13).
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Fajstrup, L 2009, Classification of dicoverings. Research Report Series, no. R-2009-13, Department of Mathematical Sciences, Aalborg University, Aalborg.

Classification of dicoverings. / Fajstrup, Lisbeth.

Aalborg : Department of Mathematical Sciences, Aalborg University, 2009. 18 p.

Research output: Book/ReportReportResearch

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Fajstrup L. Classification of dicoverings. Aalborg: Department of Mathematical Sciences, Aalborg University, 2009. 18 p. (Research Report Series; No. R-2009-13).