ACS
2004
13 years 4 months ago
2004
Let A be a topological space which is not finitely generated and CH(A) denote the coreflective hull of A in Top. We construct a generator of the coreflective subcategory SCH(A) con...
ACS
2004
13 years 4 months ago
2004
ACS
2004
13 years 4 months ago
2004
Inthis article westudy the fundamental category (Goubault and Raussen, 2002 Goubault, 2002) of a partially ordered topological space (Nachbin, 1965 Johnstone, 1982), as arising in ...
ACS
2004
13 years 4 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...
ACS
2004
13 years 4 months ago
2004
Subdirect representations are investigated in varieties which are defined by operations of not necessarily finite arity. It is shown that, in this context, Birkhoff's Subdire...
ACS
2004
13 years 4 months ago
2004
For a complete lattice V which, as a category, is monoidal closed, and for a suitable Setmonad T we consider (T, V)-algebras and introduce (T, V)-proalgebras, in generalization of...
ACS
2004
13 years 4 months ago
2004
Abstract. In this paper we investigate effective descent morphisms in categories of reflexive and transitive lax algebras. We show in particular that open and proper maps are effec...
ACS
2004
13 years 4 months ago
2004
In this paper we introduce and study a cohomology theory {Hn(-, A)} for simplicial sets with coefficients in symmetric categorical groups A. We associate to a symmetric categorical...
ACS
2004
13 years 4 months ago
2004
ACS
2004
13 years 4 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 ...