Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
On the Abstract Čech Cohomology
Authors: R. Miron, Gh. Pitiş, I. Pop
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Abstract
The present Note is a survey of the authors' papers [11, 12, 14, 16, 17, 18], concerning the introduction and study of the notion of the abstract Čech cohomology, as well as its applications. Here we have investigated: projective systems, injective systems, covering of a directed partially ordered set, abstract Čech cohomology, abstract Čech homology, Čech cohomology space, simplicial projective systems, de Rham cohomology space of projective systems, J-resolution of a projective system and acyclic resolution.E-mail: , ,
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Contents
- Academician P. S. Soltan founder of the moldavian scientific school in applied mathematics
- On some operations in the lattice of submodules determined by preradicals
- Estimation of the number of one-point expansions of a topology which is given on a finite set
- Convex Solids with Hyperplanar Midsurfaces for Restricted Families of Chords
- On the Abstract Čech Cohomology
- Some addition theorems for rectifiable spaces
- Saddle points with respect to a set
- A heuristic algorithm for the non-oriented 2D rectangular strip packing problem
- The Variational Approach to Nonlinear Evolution Equations
- On Wallman compactifications of T0-spaces and related questions
