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: The Homology of Iterated Loop SpacesThe Homology of Iterated Loop Spaces
by - Springer
A thorough treatment of homology operations and of their application to the calculation of the homologies of various spaces. The book studies an up to homotopy notion of an algebra over a monad and its role in the theory of iterated loop spaces.
(6065 views)
Book cover: Higher Topos TheoryHigher Topos Theory
by - 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.
(7797 views)
Book cover: An Elementary Illustrated Introduction to Simplicial SetsAn Elementary Illustrated Introduction to Simplicial Sets
by - arXiv.org
This is an introduction to simplicial sets and simplicial homotopy theory with a focus on the combinatorial aspects of the theory and their geometric/topological origins. Accessible to students familiar with the fundamentals of algebraic topology.
(4090 views)
Book cover: Lecture Notes on Motivic CohomologyLecture Notes on Motivic Cohomology
by - AMS
This book provides an account of the triangulated theory of motives. Its purpose is to introduce Motivic Cohomology, to develop its main properties, and finally to relate it to other known invariants of algebraic varieties and rings.
(5793 views)