Can I read Higher-dimensional Generalized Manifolds: Surgery and Constructions (EMS Series of Lectures in Mathematics) on EtoBox?

Higher-dimensional Generalized Manifolds: Surgery and Constructions (EMS Series of Lectures in Mathematics) by Alberto Cavicchioli; Friedrich Hegenbarth; Dušan D. Repovš is a nonfiction available to read on EtoBox.

What is Higher-dimensional Generalized Manifolds: Surgery and Constructions (EMS Series of Lectures in Mathematics) about?

Generalized manifolds are a most fascinating subject to study. They were introduced in the 1930s, when topologists tried to detect topological manifolds among more general spaces (this is nowadays called the manifold recognition problem). As such, generalized manifolds have served to understand the nature of genuine manifolds. However, it soon became more important to study the category of generalized manifolds itself. A breakthrough was made in the 1990s, when several topologists discovered a systematic way of constructing higher-dimensional generalized manifolds, based on advanced surgery techniques. In fact, the development of controlled surgery theory and the study of generalized manifolds developed in parallel. In this process, earlier studies of geometric surgery turned out to be very helpful. Generalized manifolds will continue to be an attractive subject to study, for there remain several unsolved fundamental problems. Moreover, they hold promise for new research, e.g. for finding appropriate structures on these spaces which could bring to light geometric (or even analytic) aspects of higher-dimensional generalized manifolds. This is the first book to systematically collect

Who reads Higher-dimensional Generalized Manifolds: Surgery and Constructions (EMS Series of Lectures in Mathematics)?

Author

Alberto Cavicchioli; Friedrich Hegenbarth; Dušan D. Repovš

Publisher

European Mathematical Society Publishing House, Zuerich, Switzerland

Published

2016

Language

EN

ISBN

9783037196564

Category

nonfiction

Subjects

Mathematics, Geometry And Topology, Stem