Preliminary and the classical homotopy theory Decompositions of self smash products Decompositions of the loop spaces The homotopy groups $\pi_{n+r}(\Sigma^n\mathbb{R}\mathrm{P}^2)$ for $n\geq 2$ and $r\leq8$ The homotopy theory of $\Sigma\mathbb{R}\mathrm{P}^2$ Bibliography.
This book provides an accessible introduction to algebraic topology, a field at the intersection of topology, geometry and algebra, together with its applications. Moreover, it covers several related topics that are in fact important in the overall scheme of algebraic topology. C…
1. Basic definitions and constructions. 1.1. Graded algebra. 1.2. Differential graded algebra. 1.3. Simplicial sets. 1.4. Polynomial differential forms. 1.5. Sullivan algebras. 1.6. The simplicial and spatial realizations of a [symbol]-algebra. 1.7. Homotopy and based homotopy. …