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Measure and Category: A Survey of the Analogies between Topological and Measure Spaces

Posted By: AvaxGenius
Measure and Category: A Survey of the Analogies between Topological and Measure Spaces

Measure and Category: A Survey of the Analogies between Topological and Measure Spaces by John C. Oxtoby
English | PDF | 1980 | 115 Pages | ISBN : 0387905081 | 11.7 MB

In this edition, a set of Supplementary Notes and Remarks has been added at the end, grouped according to chapter. Some of these call attention to subsequent developments, others add further explanation or additional remarks. Most of the remarks are accompanied by a briefly indicated proof, which is sometimes different from the one given in the reference cited.

Ideals and Reality: Projective Modules and Number of Generators of Ideals (Repost)

Posted By: AvaxGenius
Ideals and Reality: Projective Modules and Number of Generators of Ideals (Repost)

Ideals and Reality: Projective Modules and Number of Generators of Ideals by Friedrich Ischebeck
English | PDF | 2005 | 339 Pages | ISBN : 3540230327 | 14.42 MB

This monograph tells the story of a philosophy of J-P. Serre and his vision of relating that philosophy to problems in affine algebraic geometry. It gives a lucid presentation of the Quillen-Suslin theorem settling Serre's conjecture. The central topic of the book is the question of whether a curve in $n$-space is as a set an intersection of $(n-1)$ hypersurfaces, depicted by the central theorems of Ferrand, Szpiro, Cowsik-Nori, Mohan Kumar, Boratýnski.