The lattice of d-structures

Publikation: Bog/antologi/afhandling/rapportRapportForskning

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Resumé

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.
OriginalsprogEngelsk
ForlagDepartment of Mathematical Sciences, Aalborg University
Antal sider12
StatusUdgivet - jan. 2011
NavnResearch Report Series
NummerR-2011-01
ISSN1399-2503

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Galois Connection
Locale
Space Form
Topological space
Homotopy
Homology
Path
Subset

Citer dette

Fajstrup, L. (2011). The lattice of d-structures. Department of Mathematical Sciences, Aalborg University. Research Report Series, Nr. R-2011-01
Fajstrup, Lisbeth. / The lattice of d-structures. Department of Mathematical Sciences, Aalborg University, 2011. 12 s. (Research Report Series; Nr. R-2011-01).
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Fajstrup, L 2011, The lattice of d-structures. Research Report Series, nr. R-2011-01, Department of Mathematical Sciences, Aalborg University.

The lattice of d-structures. / Fajstrup, Lisbeth.

Department of Mathematical Sciences, Aalborg University, 2011. 12 s.

Publikation: Bog/antologi/afhandling/rapportRapportForskning

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Fajstrup L. The lattice of d-structures. Department of Mathematical Sciences, Aalborg University, 2011. 12 s. (Research Report Series; Nr. R-2011-01).