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ACS
2006
14 years 12 months ago
2006
We have introduced, in a previous paper, the fundamental lax 2-category of a `directed space' X. Here we show that, when X has a T1-topology, this structure can be embedded i...
ACS
2006
14 years 12 months ago
2006
Nuclei which are defined over a class of frames are called nuclear typings. There is the dual notion of a spatial selector, and the relationship between nuclear typings and spatial...
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ACS
2005
14 years 11 months ago
2005
Applying (enriched) categorical structures we define the notion of ordered sheaf on a quantaloid Q, which we call `Q-order'. This requires a theory of semicategories enriched ...
ACS
2004
14 years 11 months ago
2004
In this paper we continue the investigation of some aspects of descent theory for schemes that was begun in [11]. Let SCH be a category of schemes. We show that quasi-compact pure ...
ACS
2004
14 years 11 months ago
2004
One of the best ways of studying ordered algebraic structures is through their spectra. The three well-known spectra usually considered are the Brumfiel, Keimel, and the maximal sp...