PIECEWISE LINEAR STRUCTURES ON TOPOLOGICAL MANIFOLDS

Yuli Rudyak

ISBN 10: 9814733784 / ISBN 13: 9789814733786

Verlag: World Scientific, 2016

Beschreibung

nach der Bestellung gedruckt Neuware - Printed after ordering - 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 1960searly 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. Bestandsnummer des Verkäufers 9789814733786

Bibliografische Details

Titel: PIECEWISE LINEAR STRUCTURES ON TOPOLOGICAL ...

Verlag: World Scientific

Erscheinungsdatum: 2016

Einband: Buch

Zustand: Neu

Über diesen Titel

Inhaltsangabe:

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.