Description

Book Synopsis
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.

Table of Contents
Architecture of the Proof; Normal Invariant; Applications and Consequences of Main Theorem;

Piecewise Linear Structures On Topological

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A Hardback by Yuli Rudyak

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    View other formats and editions of Piecewise Linear Structures On Topological by Yuli Rudyak

    Publisher: World Scientific Publishing Co Pte Ltd
    Publication Date: 18/02/2016
    ISBN13: 9789814733786, 978-9814733786
    ISBN10: 9814733784
    Also in:
    Topology

    Description

    Book Synopsis
    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.

    Table of Contents
    Architecture of the Proof; Normal Invariant; Applications and Consequences of Main Theorem;

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