By M. Demazure, P. Gabriel
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This paintings attracts jointly rules from algebraic topology, practical research and geometry. it's a instrument - a way of conveying info between those 3 topics - and it's been used with good fortune to find theorems throughout a large span of arithmetic. the aim of this booklet is to acquaint the reader with the fundamental principles of analytic K-homology and strengthen a few of its functions.
First textbook-level account of uncomplicated examples and strategies during this zone. compatible for self-study by means of a reader who is aware a bit commutative algebra and algebraic geometry already. David Eisenbud is a well known mathematician and present president of the yank Mathematical Society, in addition to a winning Springer writer.
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From the preface of the writer: ". .. i've got divided this paintings into books; within the first of those i've got restrained myself to these concerns referring to natural research. within the moment ebook i've got defined these factor which has to be identified from geometry, on the grounds that research is as a rule built in this type of method that its software to geometry is proven.
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