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ACS
2007
13 years 4 months ago
Components of the Fundamental Category II
In this article we carry on the study of the fundamental category (Goubault and Raussen, 2002; Goubault, 2003) of a partially ordered topological space (Nachbin, 1965; Johnstone, 1...
Eric Goubault, Emmanuel Haucourt
ACS
2007
13 years 4 months ago
Directed Algebraic Topology, Categories and Higher Categories
Directed Algebraic Topology is a recent field, deeply linked with Category Theory. A ‘directed space’ has directed homotopies (generally non reversible), directed homology gro...
Marco Grandis
ACS
2007
13 years 4 months ago
On Point-finiteness in Pointfree Topology
: In pointfree topology, the point-finite covers introduced by Dowker and Strauss do not behave similarly to their classical counterparts with respect to transitive quasi-uniformi...
Maria João Ferreira, Jorge Picado
ACS
2007
13 years 4 months ago
Yoneda Structures from 2-toposes
A 2-categorical generalisation of the notion of elementary topos is provided, and some of the properties of the yoneda structure [SW78] it generates are explored. Results enabling ...
Mark Weber
ACS
2007
13 years 4 months ago
Boolean Topological Distributive Lattices and Canonical Extensions
Brian A. Davey, Miroslav Haviar, Hilary A. Priestl...
ACS
2007
13 years 4 months ago
Patch-generated Frames and Projectable Hulls
This article considers coherent frame homomorphisms h : L −→ M between coherent frames, which induce an isomorphism between the boolen frames of polars, with M projectable, and...
Anthony W. Hager, Jorge Martínez