Algebraic Topology S Lefschetz

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American Mathematical Society
Colloquium Publications
Volume 27
American Mathematical Society
Providence, Rhode Island
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Algebraic 
Topology
Solomon Lefschetz
	coll27-frnt.pdf
	Frontmatter
	Title
	Copyright
	Contents
	Preface
	Chapter I Introduction to General Topology 
	Chapter II Additive Groupsnullnull 
	Chapter III Complexes
	Chapter IV Complexes: Products. Transformations. Subdivisions 
	Chapter V Complexes: Multiplications and Intersections. Fixed Elements. Manifolds
	Chapter VI Nets of Complexes
	Chapter VII Homology Theory of Topological Spaces 
	Chapter VIII Topology of Polyhedra and Related Questions 
	Endmatter
	coll27-chI.pdf
	Frontmatter
	Chapter I Introduction to General Topology 
	1. Primitive concepts
	2. Topological spaces
	3. Aggregates of sets. Coverings. Dimension
	4. Connectedness
	5. Compact spaces
	6. Separation axioms
	7. Inverse mapping systems
	8. Metrization
	9. Homotopy. Deformation. Retraction
	Chapter II Additive Groupsnullnull 
	Chapter III Complexes
	Chapter IV Complexes: Products. Transformations. Subdivisions 
	Chapter V Complexes: Multiplications and Intersections. Fixed Elements. Manifolds
	Chapter VI Nets of Complexes
	Chapter VII Homology Theory of Topological Spaces 
	Chapter VIII Topology of Polyhedra and Related Questions 
	Endmatter
	coll27-chII.pdf
	Frontmatter
	Chapter I Introduction to General Topology 
	Chapter II Additive Groupsnullnull 
	1. General properties
	2. Generators of a group
	3. Limit-groups
	4. Group multiplication
	5. Characters. Duality
	6. Vector spaces
	Chapter III Complexes
	Chapter IV Complexes: Products. Transformations. Subdivisions 
	Chapter V Complexes: Multiplications and Intersections. Fixed Elements. Manifolds
	Chapter VI Nets of Complexes
	Chapter VII Homology Theory of Topological Spaces 
	Chapter VIII Topology of Polyhedra and Related Questions 
	Endmatter
	coll27-chIII.pdf
	Frontmatter
	Chapter I Introduction to General Topology 
	Chapter II Additive Groupsnullnull 
	Chapter III Complexes
	1. Complexes. Definitions and examples
	2. Homology theory of finite complexes. (a) Generalities
	3. Homology theory of finite complexes. (b) Integral groups
	4. Homology theory of finite complexes. (c) Arbitrary groups of coefficients
	5. Application to some special complexes
	6. Duality theory for finite complexes
	7. Linking coefficients. Duality in the sense of Alexander
	8. Homology theory of infinite complexes
	9. Augmentable and simple complexes
	Chapter IV Complexes: Products. Transformations. Subdivisions 
	Chapter V Complexes: Multiplications and Intersections. Fixed Elements. Manifolds
	Chapter VI Nets of Complexes
	Chapter VII Homology Theory of Topological Spaces 
	Chapter VIII Topology of Polyhedra and Related Questions 
	Endmatter
	coll27-chIV.pdf
	Frontmatter
	Chapter I Introduction to General Topology 
	Chapter II Additive Groupsnullnull 
	Chapter III Complexes
	Chapter IV Complexes: Products. Transformations. Subdivisions 
	1. Products of complexes
	2. Products of chains and cycles
	3. Set-transformations
	4. Chain-mappings
	5. Chain-homotopy
	6. Complements
	7. Subdivision. Derivation. Partition
	Chapter V Complexes: Multiplications and Intersections. Fixed Elements. Manifolds
	Chapter VI Nets of Complexes
	Chapter VII Homology Theory of Topological Spaces 
	Chapter VIII Topology of Polyhedra and Related Questions 
	Endmatter
	coll27-chV.pdf
	Frontmatter
	Chapter I Introduction to General Topology 
	Chapter II Additive Groupsnullnull 
	Chapter III Complexes
	Chapter IV Complexes: Products. Transformations. Subdivisions 
	Chapter V Complexes: Multiplications and Intersections. Fixed Elements. Manifolds
	1. Multiplications
	2. Intersections
	3. Coincidences and fixed elements
	4. Combinatorial manifolds
	Chapter VI Nets of Complexes
	Chapter VII Homology Theory of Topological Spaces 
	Chapter VIII Topology of Polyhedra and Related Questions 
	Endmatter
	coll27-chVI.pdf
	Frontmatter
	Chapter I Introduction to General Topology 
	Chapter II Additive Groupsnullnull 
	Chapter III Complexes
	Chapter IV Complexes: Products. Transformations. Subdivisions 
	Chapter V Complexes: Multiplications and Intersections. Fixed Elements. Manifolds
	Chapter VI Nets of Complexes
	1. Definition of nets and their groups
	2. Duality and intersections
	3. Further properties of nets
	4. Spectra
	5. Application fo infinite complexes
	6. Webs
	7. Metric complexes
	Chapter VII Homology Theory of Topological Spaces 
	Chapter VIII Topology of Polyhedra and Related Questions 
	Endmatter
	coll27-chVII.pdf
	Frontmatter
	Chapter I Introduction to General Topology 
	Chapter II Additive Groupsnullnull 
	Chapter III Complexes
	Chapter IV Complexes: Products. Transformations. Subdivisions 
	Chapter V Complexes: Multiplications and Intersections. Fixed Elements. Manifolds
	Chapter VI Nets of Complexes
	Chapter VII Homology Theory of Topological Spaces 
	1. Homology theory: foundations and general properties
	2. Relations between connectedness and homology
	3. Groups related to webs
	4. Groups related to the union and intersection of two sets
	5. The Vietoris homology theory for compacta
	6. Reduction of the Vietoris theory to the Cech theory
	7. Homology theories of Kurosch and of Alexander-Kolmogoroff
	Chapter VIII Topology of Polyhedra and Related Questions 
	Endmatter
	coll27-chVIII.pdf
	Frontmatter
	Chapter I Introduction to General Topology 
	Chapter II Additive Groupsnullnull 
	Chapter III Complexes
	Chapter IV Complexes: Products. Transformations. Subdivisions 
	Chapter V Complexes: Multiplications and Intersections. Fixed Elements. Manifolds
	Chapter VI Nets of Complexes
	Chapter VII Homology Theory of Topological Spaces 
	Chapter VIII Topology of Polyhedra and Related Questions 
	1. Geometric complements
	2. Homology theory
	3. Geometric manifolds
	4. Continuous and singular complexes
	5. Coincidences and fixed points
	6. Quasi-complexes and the fixed point theorem
	7. Topological complexes
	8. Differentiable complexes and manifolds
	9. Group manifolds
	10. Nomenclature of complexes and manifolds
	Endmattercoll27-bck.pdf
	Frontmatter
	Chapter I Introduction to General Topology 
	Chapter II Additive Groupsnullnull 
	Chapter III Complexes
	Chapter IV Complexes: Products. Transformations. Subdivisions 
	Chapter V Complexes: Multiplications and Intersections. Fixed Elements. Manifolds
	Chapter VI Nets of Complexes
	Chapter VII Homology Theory of Topological Spaces 
	Chapter VIII Topology of Polyhedra and Related Questions 
	Endmatter
	Appendix A
	Appendix B
	Bibliography
	Index of special symbols and notations
	Index