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 language | English |
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| Publisher | Department of Mathematical Sciences, Aalborg University |
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| Number of pages | 12 |
| Publication status | Published - Jan 2011 |
| Series | Research Report Series |
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| Number | R-2011-01 |
| ISSN | 1399-2503 |