Topology Lecture Notes
by Thomas Ward
Publisher: UEA 2001
Number of pages: 88
Description:
Contents: Topological and Metric Spaces, Homotopy Exquivalence, Fundamental Groups, Covering Spaces and Applications, Classification of Surfaces, Simplicial Complexes and Homology Groups, Homology Calculations, Simplicial Approximation, Homological Algebra and the Exact Sequence of a Pair.
Download or read it online for free here:
Download link
(multiple formats)
Similar books
Topics in topology: The signature theorem and some of its applicationsby Liviu I. Nicolaescu - University of Notre Dame
The author discusses several exciting topological developments which radically changed the way we think about many issues. Topics covered: Poincare duality, Thom isomorphism, Euler, Chern and Pontryagin classes, cobordisms groups, signature formula.
(11536 views)
Higher Topos Theoryby Jacob Lurie - Princeton University Press
Jacob Lurie presents the foundations of higher category theory, using the language of weak Kan complexes, and shows how existing theorems in algebraic topology can be reformulated and generalized in the theory's new language.
(17931 views)
A Primer on Homotopy Colimitsby Daniel Dugger - University of Oregon
This is an expository paper on homotopy colimits and homotopy limits. These are constructions which should arguably be in the toolkit of every modern algebraic topologist. Many proofs are avoided, or perhaps just sketched.
(11821 views)
A Concise Course in Algebraic Topologyby J. P. May - University Of Chicago Press
This book provides a detailed treatment of algebraic topology both for teachers of the subject and for advanced graduate students in mathematics. Most chapters end with problems that further explore and refine the concepts presented.
(21168 views)