Functions on manifolds : algebraic and t
β V V Sharko
π Library
π
1993
π American Mathematical Society
π English
β¦ LIBER β¦
π
Functions on Manifolds: Algebraic and Topological Aspects
β Scribed by V. V. Sharko
- Publisher
- American Mathematical Society
- Year
- 1993
- Tongue
- English
- Leaves
- 206
- Series
- Translations of Mathematical Monographs
- Category
- Library
β¬ Acquire This Volume
No coin nor oath required. For personal study only.
β¦ Synopsis
This monograph covers in a unified manner new results on smooth functions on manifolds. A major topic is Morse and Bott functions with a minimal number of singularities on manifolds of dimension greater than five. Sharko computes obstructions to deformation of one Morse function into another on a simply connected manifold. In addition, a method is developed for constructing minimal chain complexes and homotopical systems in the sense of Whitehead. This leads to conditions under which Morse functions on non-simply-connected manifolds exist. Sharko also describes new homotopical invariants of manifolds, which are used to substantially improve the Morse inequalities. The conditions guaranteeing the existence of minimal round Morse functions are discussed.
Readership: Graduate students, post-graduate students, topologists, and algebraists.
π SIMILAR VOLUMES
Algebraic L-theory and Topological Manif
β Andrew A. Ranicki
π Library
π
1992
π Cambridge University Press
π English
This book presents the definitive account of the applications of this algebra to the surgery classification of topological manifolds. The central result is the identification of a manifold structure in the homotopy type of a PoincarΓ© duality space with a local quadratic structure in the chain homoto
Algebraic L-theory and topological manif
β Ranicki A.A.
π Library
π
1992
π CUP
π English
Algebraic K-Theory and Manifold Topology
β Jacob Lurie
π Library
π
2014
π English
Lecture notes.
Algebraic L-theory and topological manif
β A. A. Ranicki
π Library
π
2008
π Cambridge University Press
π English
This book presents the definitive account of the applications of this algebra to the surgery classification of topological manifolds. The central result is the identification of a manifold structure in the homotopy type of a PoincarΓ© duality space with a local quadratic structure in the chain homoto
Algebraic L theory and topological manif
β Ranicki
π Library
π English