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Algebraic Topology I Iv5 Stefan Friedl
The contents of this book include, Topological spaces, General topology, some delicate bits, Topological manifolds and manifolds, Categories, functors and natural transformations, Covering spaces and manifolds, Homotopy equivalent topological spaces, Differential topology, Basics of group theory, The basic Seifertvan Kampen Theorem, Presentations of groups and amalgamated products, The general Seifertvan Kampen Theorem, Cones, suspensions, cylinders, Limits, etc.
Author(s): Stefan Friedl
2076 Pages 
This book contains below topics, Cell Complexes, Operations on Spaces, Two Criteria for Homotopy Equivalen ce, The Homotopy Extension Property, The van Kampen Theorem, Applications to Cell Complexes, The Classication of Covering Space s, Deck Transformations and Group Actions, Simplicial Homology, Singular Homology.
Author(s): Allen Hatcher
560 Pages
Configuration spaces in algebraic topology
This book contains below topics, Configuration spaces and braids, Cohomology of ConfkRn, Covering theorems, Deferred proofs, Mapping space models, Homology calculations from stable splittings, Mod p cohomology, Postscript Lie algebra methods, Split simplicial spaces, Homotopy colimits, The Spanier Whitehead category, Tate cohomology and periodicity.
Author(s): Ben Knudsen
117 Pages
Algebraic topology of C algebras
This note contains below topics, Gelfand category and Gelfand functor, Gelfand space and Ktheory, Algebraic topology of the noncommutative torus, Hausdorff blowingup, Groupoids foliations and their coverings, Gelfand spaces of continuous trace C algebras, Appendices, Category theory, Topology, Lattices and filters, Sheaves and cohomology, C algebras, Continuous trace C algebras, C algebras of groupoids, Noncommutative torus Tn.
Author(s): Petr Ivankov
119 Pages
Algebraic Topology for Data Scientists
This book contains below topics, Point Set Topology Background, Abstract Algebra Background, Traditional Homology Theory, Persistent Homology, Related Techniques, Some Unfinished Ideas, Cohomology, Homotopy Theory, Obstruction Theory, Steenrod Squares and Reduced Powers, Homotopy Groups of Spheres.
Author(s): Michael S. Postol
324 Pages
Lecture Notes in Algebraic Topology
This note explains the following topics, Chain Complexes, Homology, and Cohomology, Homological Algebra, Products, Fiber Bundles, Homology with Local Coefficients, Fibrations, Cofibrations and Homotopy Groups, Obstruction Theory and EilenbergMacLane Spaces, Bordism, Spectra, and Generalized Homology, Spectral Sequences.
Author(s): James F. Davis and Paul Kirk
392 Pages
Lectures on Algebraic Topology by Haynes Miller
This PDF Lectures covers the following topics related to Algebraic Topology, Singular homology, Introduction, singular simplices and chains, Homology, Categories, functors, and natural transformations, Basic homotopy theory, The homotopy theory of CW complexes, Vector bundles and principal bundles, Spectral sequences and Serre classes, Characteristic classes, Steenrod operations, and cobordism.
Author(s): Haynes Miller
307 Pages
Algebraic Topology A Comprehensive Introduction
This book explains the following topics, Introduction, Fundamental group, Classification of compact surfaces, Covering spaces, Homology, Basics of Cohomology, Cup Product in Cohomology, Poincaré Duality, Basics of Homotopy Theory, Spectral Sequences. Applications, Fiber bundles, Classifying spaces, Applications, Vector Bundles, Characteristic classes, Cobordism, Applications.
Author(s): Laurentiu Maxim, University of Wisconsin-Madison
318 Pages
Algebraic Topology by Andreas Kriegl
This note explains the following topics, Building blocks and homeomorphy, Homotopy, Simplicial Complexes, CWSpaces, Fundamental Group, Coverings, Simplicial Homology and Singular Homology.
Author(s): Andreas Kriegl
125 Pages