The lattice of d-structures

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Abstract

The set of d-structures on a topological space form a lattice and in fact a locale. There is a Galois connection between the lattice of subsets of the space and the lattice of d-structures. Variation of the d-structures induces change in the spaces of directed paths. Hence variation of d-structures and variation of the “forbidden area” may be considered together via for instance (co)homology and homotopy sequences.
Original languageEnglish
PublisherDepartment of Mathematical Sciences, Aalborg University
Number of pages12
Publication statusPublished - Jan 2011
SeriesResearch Report Series
NumberR-2011-01
ISSN1399-2503

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