### Abstract

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 |

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### Cite this

*The lattice of d-structures*. Department of Mathematical Sciences, Aalborg University. Research Report Series, No. R-2011-01

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*The lattice of d-structures*. Research Report Series, no. R-2011-01, Department of Mathematical Sciences, Aalborg University.

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

Research output: Book/Report › Report › Research

TY - RPRT

T1 - The lattice of d-structures

AU - Fajstrup, Lisbeth

PY - 2011/1

Y1 - 2011/1

N2 - 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.

AB - 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.

M3 - Report

BT - The lattice of d-structures

PB - Department of Mathematical Sciences, Aalborg University

ER -