Elements of algebraic topology /
Munkres, James R.
Elements of algebraic topology / James R Munkres. - Special Indian ed. - Florida : CRC Press, 2018. - ix, 454 p. : ill. ; 22 cm.
Preface
Chapter 1: Homology Groups of a Simplicial Complex
Chapter 2: Topological Invariance of the Homology Groups
Chapter 3: Relative Homology and the Elienberg-Steenrod Axioms
Chapter 4: Singular Homology Theory
Chapter 5: Cohomoogy
Chapter 6: Homology Algebra
Chapter 7: Homological Algebra
Chapter 8: Duality in Manifolds
Bibliography
Index
Elements of Algebraic Topology provides the most concrete approach to the subject. With coverage of homology and cohomology theory, universal coefficient theorems, Kunneth theorem, duality in manifolds, and applications to classical theorems of point-set topology, this book is perfect for comunicating complex topics and the fun nature of algebraic topology for beginners
9781138329423
Cohomoogy
Lefschetz
Kunneth theorem
Elienberg-Steenrod Axioms
Simplicial Complex
514.2 / MUN
Elements of algebraic topology / James R Munkres. - Special Indian ed. - Florida : CRC Press, 2018. - ix, 454 p. : ill. ; 22 cm.
Preface
Chapter 1: Homology Groups of a Simplicial Complex
Chapter 2: Topological Invariance of the Homology Groups
Chapter 3: Relative Homology and the Elienberg-Steenrod Axioms
Chapter 4: Singular Homology Theory
Chapter 5: Cohomoogy
Chapter 6: Homology Algebra
Chapter 7: Homological Algebra
Chapter 8: Duality in Manifolds
Bibliography
Index
Elements of Algebraic Topology provides the most concrete approach to the subject. With coverage of homology and cohomology theory, universal coefficient theorems, Kunneth theorem, duality in manifolds, and applications to classical theorems of point-set topology, this book is perfect for comunicating complex topics and the fun nature of algebraic topology for beginners
9781138329423
Cohomoogy
Lefschetz
Kunneth theorem
Elienberg-Steenrod Axioms
Simplicial Complex
514.2 / MUN