"This collection of papers by leading researchers provides a broad picture of current research directions in index theory. Based on lectures presented at the NSF-CBMS Regional Conference on K-Homology and Index Theory, held in August 1991 at the University of Colorado at Boulder…
Detailed examination of uniform spaces, topological groups, topological vector spaces, topological algebras and abstract harmonic analysis. Numerous problems and examples.
Continuous images of ordered continua are investigated. The paper gives various properties of their monotone images and inverse limits of their inverse systems (or sequences) with monotone bonding surjections. Some factorization theorems are provided. Special attention is given …
The systole of a compact metric space $X$ is a metric invariant of $X$, defined as the least length of a noncontractible loop in $X$. When $X$ is a graph, the invariant is usually referred to as the girth, ever since the 1947 article by W. Tutte. The first nontrivial results for…
This textbook focuses on the abstract aspects of topological dynamics and ergodic theory, and presents several examples of the joining technique. The author covers dynamical systems on Lebesgue spaces, the Koopman representation, isometric and weakly mixing extensions, the Furst…