A.D. Alexandrov spaces with curvature bounded below

DOI10.1070/RM1992v047n02ABEH000877zbMath0796.18009OpenAlexW2027673210WikidataQ29167326 ScholiaQ29167326MaRDI QIDQ4289351

A. B. Verevkin

Publication date: 18 May 1994

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm1992v047n02abeh000877

zbMATH Keywords

quotient categorySerre dualitycomplete Serre cohomologiesSerre category of sheaves

Mathematics Subject Classification ID

Spectral sequences, hypercohomology (18G40) Resolutions; derived functors (category-theoretic aspects) (18G10) Nonabelian homological algebra (category-theoretic aspects) (18G50) Graded rings and modules (associative rings and algebras) (16W50) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20)

Related Items

The tangent cone of an Aleksandrov space of curvature \(\leq K\), Cohomology of tails, Tate-Vogel cohomology, and noncommutative Serre duality over Koszul quiver algebras., Spaces of Wald curvature bounded below, Disconnectedness of sublevel sets of some Riemannian functionals, Two versions of the Jung theorem in metric spaces of curvature bounded above, \(\text{CAT}(0)\) 4-manifolds possessing a single tame point are Euclidean, The Space of Spaces: Curvature Bounds and Gradient Flows on the Space of Metric Measure Spaces, On the intrinsic and extrinsic boundary for metric measure spaces with lower curvature bounds, Viscosity solutions of Hamilton-Jacobi equations in proper \(\text{CAT(0)}\) spaces, A quadrangle comparison theorem and its application to soul theory for Alexandrov spaces, On typical degenerate convex surfaces, On uniqueness of maximal coupling for diffusion processes with a reflection, Generalized Liouville theorem in nonnegatively curved Alexandrov spaces, Deforming metrics with curvature and injectivity radius bounded from below