Cell-like resolutions preserving cohomological dimensions
نویسنده
چکیده
We prove that for every compactum X with dimZ X ≤ n ≥ 2 there is a cell-like resolution r : Z −→ X from a compactum Z onto X such that dim Z ≤ n and for every integer k and every abelian group G such that dimG X ≤ k ≥ 2 we have dimG Z ≤ k. The latter property implies that for every simply connected CW-complex K such that e − dimX ≤ K we also
منابع مشابه
Cohomological Dimension Theory of Compact Metric Spaces
0. Introduction 1 1. General properties of the cohomological dimension 2 2. Bockstein theory 6 3. Cohomological dimension of Cartesian product 10 4. Dimension type algebra 15 5. Realization theorem 19 6. Test spaces 24 7. Infinite-dimensional compacta of finite cohomological dimension 28 8. Resolution theorems 33 9. Resolutions preserving cohomological dimensions 41 10. Imbedding and approximat...
متن کاملSymplectic , Multisymplectic Structures and Euler - Lagrange Cohomology
We study the Euler-Lagrange cohomology and explore the symplectic or multisym-plectic geometry and their preserving properties in classical mechanism and classical field theory in Lagrangian and Hamiltonian formalism in each case respectively. By virtue of the Euler-Lagrange cohomology that is nontrivial in the configuration space, we show that the symplectic or multisymplectic geometry and rel...
متن کاملCohomological Dimensions of Universal Cosovereign Hopf Algebras
We compute the Hochschild and Gerstenhaber-Schack cohomological dimensions of the universal cosovereign Hopf algebras, when the matrix of parameters is a generic asymmetry. Our main tools are considerations on the cohomologies of free product of Hopf algebras, and on the invariance of the cohomological dimensions under graded twisting by a finite abelian group.
متن کاملWall-crossings in Toric Gromov–witten Theory Ii: Local Examples
In this paper we analyze six examples of birational transformations between toric orbifolds: three crepant resolutions, two crepant partial resolutions, and a flop. We study the effect of these transformations on genus-zero Gromov–Witten invariants, proving the Coates–Corti–Iritani–Tseng/Ruan form of the Crepant Resolution Conjecture in each case. Our results suggest that this form of the Crepa...
متن کاملConsistent gravitational anomalies for chiral bosons
Exact consistent gravitational anomalies for chiral bosons in two dimensions are treated both with the Schwinger-DeWitt regularization and independently through a cohomological procedure. The diffeomorphism transformations are described by a single ghost which allows to climb the cohomological chain in a unique way. Work supported in part by M.U.I.R.
متن کامل