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ACS
2006
13 years 7 months ago
Absolute Lax 2-categories
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...
Marco Grandis
ACS
2006
13 years 7 months ago
Nuclear Typing of Frames vs Spatial Selectors
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...
Jorge Martínez, Eric Richard Zenk
ACS
2005
13 years 7 months ago
Categorical Structures Enriched in a Quantaloid: Orders and Ideals over a Base Quantaloid
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 ...
Isar Stubbe
ACS
2004
13 years 7 months ago
Descent Theory for Schemes
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 ...
Bachuki Mesablishvili
ACS
2004
13 years 7 months ago
Pointfree Spectra of Riesz Spaces
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...
M. Mehdi Ebrahimi, A. Karimi, Mojgan Mahmoudi