Logo

Prerequisites in Algebraic Topology

Small book cover: Prerequisites in Algebraic Topology

Prerequisites in Algebraic Topology
by

Publisher: NTNU
Number of pages: 55

Description:
This is not an introductory textbook in algebraic topology, these notes attempt to give a quick overview of the parts of algebraic topology, and in particular homotopy theory, which are needed in order to appreciate that side of motivic homotopy theory.

Home page url

Download or read it online for free here:
Download link
(560KB, PDF)

Similar books

Book cover: sclscl
by - Mathematical Society of Japan
This is a comprehensive introduction to the theory of stable commutator length, an important subfield of quantitative topology, with substantial connections to 2-manifolds, dynamics, geometric group theory, bounded cohomology, symplectic topology.
(10563 views)
Book cover: Homotopy Theories and Model CategoriesHomotopy Theories and Model Categories
by - University of Notre Dame
This paper is an introduction to the theory of model categories. The prerequisites needed for understanding this text are some familiarity with CW-complexes, chain complexes, and the basic terminology associated with categories.
(9441 views)
Book cover: A Primer on Homotopy ColimitsA Primer on Homotopy Colimits
by - 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.
(10103 views)
Book cover: Topology Lecture NotesTopology Lecture Notes
by - UEA
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, etc.
(11997 views)