Piecewise linear structures on topological manifolds
"The study of triangulations of topological spaces has always been at the root of geometric topology. Among the most studied triangulations are piecewise linear triangulations of high-dimensional topological manifolds. Their study culminated in the late 1960s-early 1970s in a complete classification in the work of Kirby and Siebenmann. It is this classification that we discuss in this book, including the celebrated Hauptvermutung and Triangulation Conjecture. The goal of this book is to provide…
Read More ↓Title Statements
- Full title :Piecewise linear structures on topological manifolds / Yuli Rudyak.
Summary
"The study of triangulations of topological spaces has always been at the root of geometric topology. Among the most studied triangulations are piecewise linear triangulations of high-dimensional topological manifolds. Their study culminated in the late 1960s-early 1970s in a complete classification in the work of Kirby and Siebenmann. It is this classification that we discuss in this book, including the celebrated Hauptvermutung and Triangulation Conjecture. The goal of this book is to provide a readable and well-organized exposition of the subject, which would be suitable for advanced graduate students in topology. An exposition like this is currently lacking."--
Read More ↓Edition Statements
- Publication Date:©2016
Publication Statements
- Publisher(s):World Scientific
- Place of Publication:New Jersey
- Language:eng
- Publication Date:©2016
The Physical Object
- Description:1 online resource (xxii, 106 pages) : : illustrations
Edition Identifiers
- ISBN:9789814733793, 9814733792
- oclc:ocn941915824
- LC Classification:QA613.2
- Dewey Decimal:514/.34
Table of Contents
Architecture of the proof -- Normal invariant -- Applications and consequences of the main theorem.
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