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The Geometry of Topological Stability (Hardcover)
Loot Price: R6,859
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The Geometry of Topological Stability (Hardcover)
Series: London Mathematical Society Monographs, 9
Expected to ship within 12 - 17 working days
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The aim of this book is to give necessary and sufficient conditions
for a C oo map to be C 0-stable; the aim is achieved in a wide
range of dimensions via a detailed study of the geometry and
topology of many classes of "generic" singularities. The methods
developed for examining the topology and geometry use results from
many areas of mathematics - geometric topology, stratification
theory, algebraic topology, algebraic geometry, commutative
algebra...- and further progress will doubtless be made from the
application of deeper results from these areas. Conversely, it is
to be hoped that the description of the behaviour of generic
singularities will also have interesting consequences for these
areas of mathematics, which are those with most interaction with
singularity theory. The book describes original research;
essentially none of its results has previously appeared elsewhere,
either in scientific articles or in books. This book is intended
for research mathematicians in singularity theory and in selected
areas of geometric topology, stratification theory, algebraic
geometry, commutative algebra.
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