TY - RPRT

T1 - The lattice of d-structures

A1 - Fajstrup,Lisbeth

AU - Fajstrup,Lisbeth

PB - Department of Mathematical Sciences, Aalborg University

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.

BT - The lattice of d-structures

T3 - Research Report Series

T3 - en_GB

ER -