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ACS
2007
13 years 11 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 11 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 11 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 11 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 11 months ago
Boolean Topological Distributive Lattices and Canonical Extensions
Brian A. Davey, Miroslav Haviar, Hilary A. Priestl...
ACS
2007
13 years 11 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