Book Review: Homotopy theory; an introduction to algebraic topology

Algebraic Topology Notes: Homotopy Theory

Notes on homotopy theory, the first part of a trilogy on algebraic topology. Any typos, errors, mistakes, gaffes, etc., are entirely my folly.

An Introduction to a -homotopy Theory

Introduction to Applied Algebraic Topology

Introduction to the Homotopy Theory

The paper introduces some preliminary notions concerning the homotopy theory according to [15]: paths and arcwise connected to topological spaces. The basic operations on paths (addition and reversing) are defined. In the last section the predicate: P,Q are homotopic is defined. We also showed some properties of the product of two topological spaces needed to prove reflexivity and symmetry of t...

Introduction to Combinatorial Homotopy Theory

1 Introduction. Homotopy theory is a subdomain of topology where, instead of considering the category of topological spaces and continuous maps, you prefer to consider as morphisms only the continuous maps up to homotopy, a notion precisely defined in these notes in Section 4. Roughly speaking, you decide not to distinguish two maps which can be continuously deformed into each other; such a wea...