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76
Voted
ACS
2004
15 years 8 days ago
Effective Descent Morphisms in Categories of Lax Algebras
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...
Maria Manuel Clementino, Dirk Hofmann
70
Voted
ACS
2004
15 years 8 days ago
Simplicial Cohomology with Coefficients in Symmetric Categorical Groups
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...
Pilar Carrasco, Juan Martínez-Moreno
77
Voted
ACS
2004
15 years 8 days ago
Obstruction Theory for Extensions of Categorical Groups
P. Carrasco, Antonio R. Garzón
76
Voted
ACS
2004
15 years 8 days 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
93
Voted
ACS
2004
15 years 8 days ago
Galois Theory and a New Homotopy Double Groupoid of a Map of Spaces
The authors have used generalised Galois Theory to construct a homotopy double groupoid of a surjective fibration of Kan simplicial sets. Here we apply this to construct a new hom...
Ronald Brown, George Janelidze
71
Voted
ACS
2004
15 years 8 days ago
Triple Brackets and Lax Morphism Categories
K. A. Hardie, K. H. Kamps, H. J. Marcum, N. Oda