Algebraic and Differential Topology

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A01=R.V. Gamkrelidze
advanced mathematics
algebraic invariants
Author_R.V. Gamkrelidze
Barycentric Coordinates
Barycentric Subdivision
Betti numbers
Category=PB
Compact Metric Space
Conic Construction
Continuous Mapping
Convex Body
Dimension Theory
Embedding theorem
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Euclidean Space
Homeomorphic Mapping
Homological Invariant
Homology Class
Homology Groups
homology theory applications
Homotopic Classification
Homotopic Mapping
Homotopic Mappings
Hopf invarian
Improper Points
Linearly Independent
Looping Coefficient
mathematical topology
Metric Space
Oriented Sphere
Orthonormal Frame
polyhedron mapping
Proper Point
Quarternions
Residues Modulo
Simplicial Mapping
Smooth Manifold
Smooth Manifolds
Smooth Mapping
Smooth mappings
Smooth Submanifold
Smoothness Class
topological spaces

Product details

  • ISBN 9782881240355
  • Weight: 568g
  • Dimensions: 152 x 229mm
  • Publication Date: 06 Mar 1987
  • Publisher: Gordon & Breach Science Publishers SA
  • Publication City/Country: NL
  • Product Form: Hardback
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Algebraic and Differential Topology presents in a clear, concise, and detailed manner the fundamentals of homology theory. It first defines the concept of a complex and its Betti groups, then discusses the topolgoical invariance of a Betti group. The book next presents various applications of homology theory, such as mapping of polyhedrons onto other polyhedrons as well as onto themselves. The third volume in L.S. Pontryagin's Selected Works, this book provides as many insights into algebraic topology for today's mathematician as it did when the author was making his initial endeavors into this field.

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