WorldCat Identities

Knebusch, Manfred

Overview
Works: 34 works in 139 publications in 2 languages and 2,468 library holdings
Roles: Editor, Creator
Classifications: QA3, 512.944
Publication Timeline
Key
Publications about  Manfred Knebusch Publications about Manfred Knebusch
Publications by  Manfred Knebusch Publications by Manfred Knebusch
Most widely held works by Manfred Knebusch
Locally semialgebraic spaces by Hans Delfs ( Book )
15 editions published in 1985 in English and German and held by 454 WorldCat member libraries worldwide
Weakly semialgebraic spaces by Manfred Knebusch ( Book )
12 editions published in 1989 in English and held by 433 WorldCat member libraries worldwide
The book is the second part of an intended three-volume treatise on semialgebraic topology over an arbitrary real closed field R. In the first volume (LNM 1173) the category LSA(R) or regular paracompact locally semialgebraic spaces over R was studied. The category WSA(R) of weakly semialgebraic spaces over R - the focus of this new volume - contains LSA(R) as a full subcategory. The book provides ample evidence that WSA(R) is "the" right cadre to understand homotopy and homology of semialgebraic sets, while LSA(R) seems to be more natural and beautiful from a geometric angle. The semialgebraic sets appear in LSA(R) and WSA(R) as the full subcategory SA(R) of affine semialgebraic spaces. The theory is new although it borrows from algebraic topology. A highlight is the proof that every generalized topological (co)homology theory has a counterpart in WSA(R) with in some sense "the same", or even better, properties as the topological theory. Thus we may speak of ordinary (=singular) homology groups, orthogonal, unitary or symplectic K-groups, and various sorts of cobordism groups of a semialgebraic set over R. If R is not archimedean then it seems difficult to develop a satisfactory theory of these groups within the category of semialgebraic sets over R: with weakly semialgebraic spaces this becomes easy. It remains for us to interpret the elements of these groups in geometric terms: this is done here for ordinary (co)homology
Manis valuations and Prüfer extensions I : a new chapter in commutative algebra by Manfred Knebusch ( Book )
17 editions published between 2002 and 2004 in English and held by 401 WorldCat member libraries worldwide
The present book is devoted to a study of relative Prfer rings and Manis valuations, with an eye to application in real and p-adic geometry. If one wants to expand on the usual algebraic geometry over a non-algebraically closed base field, e.g. a real closed field or p-adically closed field, one typically meets lots of valuation domains. Usually they are not discrete and hence not noetherian. Thus, for a further develomemt of real algebraic and real analytic geometry in particular, and certainly also rigid analytic and p-adic geometry, new chapters of commutative algebra are needed, often of a non-noetherian nature. The present volume presents one such chapter
Specialization of quadratic and symmetric bilinear forms by Manfred Knebusch ( )
10 editions published in 2010 in English and held by 388 WorldCat member libraries worldwide
The specialization theory of quadratic and symmetric bilinear forms over fields and the subsequent generic splitting theory of quadratic forms were invented by the author in the mid-1970's. They came to fruition in the ensuing decades and have become an integral part of the geometric methods in quadratic form theory. This book comprehensively covers the specialization and generic splitting theories. These theories, originally developed for fields of characteristic different from 2, are explored here without this restriction. In addition to chapters on specialization theory, generic splitting t
Algebraic theory of quadratic forms : generic methods and Pfister forms by Manfred Knebusch ( Book )
11 editions published in 1980 in English and held by 257 WorldCat member libraries worldwide
Wittrings by Manfred Knebusch ( Book )
11 editions published between 1972 and 1982 in 3 languages and held by 207 WorldCat member libraries worldwide
Einführung in die reelle Algebra by Manfred Knebusch ( Book )
7 editions published in 1989 in German and held by 69 WorldCat member libraries worldwide
Grothendieck- und Wittringe von nichtausgearteten symmetrischen Bilinearformen by Manfred Knebusch ( Book )
6 editions published in 1970 in German and English and held by 65 WorldCat member libraries worldwide
Ordnungen in lokalen Jordanalgebren vom Grade 2 und 3 by Manfred Knebusch ( Book )
6 editions published in 1964 in German and held by 30 WorldCat member libraries worldwide
Dominance and Transmissions in Supertropical Valuation Theory by Zur Izhakian ( )
3 editions published in 2011 in English and held by 18 WorldCat member libraries worldwide
Supertropical Semirings and Supervaluations by Zur Ishakian ( )
1 edition published in 2010 in German and held by 15 WorldCat member libraries worldwide
Monoid Valuations and Value Ordered Supervaluations by Zur Izhakian ( )
1 edition published in 2011 in German and held by 15 WorldCat member libraries worldwide
Supertropical Linear Algebra by Zur Izhakian ( )
1 edition published in 2010 in German and held by 15 WorldCat member libraries worldwide
Grothendieck- und Wittringe von nichtausgearteten symmetrischen Bilinearformen : vorgelegt in der Sitzung vom 15. Nov. 1969 durch Friedrich Karl Schmidt by Manfred Knebusch ( Book )
1 edition published in 1970 in German and held by 13 WorldCat member libraries worldwide
Manis valuations and prüfer extensions by Manfred Knebusch ( Book )
1 edition published in 2002 in English and held by 13 WorldCat member libraries worldwide
Supertropical Quadratic Forms I by Zur Izhakian ( )
2 editions published in 2013 in German and English and held by 13 WorldCat member libraries worldwide
Wittringe by Manfred Knebusch ( Book )
5 editions published between 1972 and 1978 in 3 languages and held by 13 WorldCat member libraries worldwide
Manis valuations and Prüfer extensions by Manfred Knebusch ( Book )
7 editions published in 2002 in 3 languages and held by 13 WorldCat member libraries worldwide
Wittringe : Nach e. Vorlesung 1971-72 in Saarbrücken by Manfred Knebusch ( Book )
2 editions published in 1978 in German and held by 5 WorldCat member libraries worldwide
Generic splitting towers and generic splitting preparation of quadratic forms by Manfred Knebusch ( Book )
2 editions published in 2000 in English and held by 4 WorldCat member libraries worldwide
 
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Audience Level
0
Audience Level
1
  Kids General Special  
Audience level: 0.78 (from 0.33 for Manis valu ... to 0.90 for Wittringe ...)
Alternative Names
Knebusch, Manfred
Languages
English (85)
German (32)
Covers