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.
In part 1 we study the homology, homotopy, and stable homotopy of [capital Greek]Omega[italic capital]B[lowercase Greek]Pi[up arrowhead][over][subscript italic]p, where [italic capital]G is a finite [italic]p-perfect group. In part 2 we define the concept of resolutions by fibra…
Cover -- Title page -- Chapter 1. Introduction -- Chapter 2. Loop measures and renormalized intersection local times -- 2.1. Renormalized intersection local times -- 2.2. Bounds for the error terms -- Chapter 3. Continuity of intersection local time processes -- Chapter 4. Loop …
Several stochastic processes related to transient Lévy processes with potential densities u(x, y) = u(y − x), that need not be symmetric nor bounded on the diagonal, are defined and studied. They are real valued processes on a space of measures V endowed with a metric d. Suffici…
This memoir deals with much of the familiar structure of homotopy theory, including standard theorems on homotopy limits and localization, and gives a description of algebras-up-to-homotopy designed to illuminate the theory of loop-spaces.
