WorldCat Identities

Kreck, Matthias 1947-

Overview
Works: 39 works in 141 publications in 2 languages and 1,603 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Editor
Classifications: QA613, 516.07
Publication Timeline
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Most widely held works by Matthias Kreck
Bordism of diffeomorphisms and related topics by Matthias Kreck( Book )

22 editions published between 1984 and 2008 in English and German and held by 364 WorldCat member libraries worldwide

The Novikov conjecture : geometry and algebra by Matthias Kreck( Book )

23 editions published in 2005 in English and held by 281 WorldCat member libraries worldwide

These lecture notes contain a guided tour to the Novikov Conjecture and related conjectures due to Baum-Connes, Borel and Farrell-Jones. They begin with basics about higher signatures, Whitehead torsion and the s-Cobordism Theorem. Then an introduction to surgery theory and a version of the assembly map is presented. Using the solution of the Novikov conjecture for special groups some applications to the classification of low dimensional manifolds are given
Differential algebraic topology : from stratifolds to exotic spheres by Matthias Kreck( Book )

13 editions published in 2010 in English and held by 190 WorldCat member libraries worldwide

"This book presents a geometric introduction to the homology of topological spaces and the cohomology of smooth manifolds. The author introduces a new class of stratified spaces, so-called stratifolds. He derives basic concepts from differential topology such as Sard's theorem, partitions of unity and transversality. Based on this, homology groups are constructed in the framework of stratifolds and the homology axioms are proved. This implies that for nice spaces these homology groups agree with ordinary singular homology. Besides the standard computations of homology groups using the axioms, straightforward constructions of important homology classes are given. The author also defines stratifold cohomology groups following an idea of Quillen. Again, certain important cohomology classes occur very naturally in this description, for example, the characteristic classes which are constructed in the book and applied later on. One of the most fundamental results, Poincaré duality, is almost a triviality in this approach. Some fundamental invariants, such as the Euler characteristic and the signature, are derived from (co)homology groups. These invariants play a significant role in some of the most spectacular results in differential topology. In particular, the author proves a special case of Hirzebruch's signature theorem and presents as a highlight Milnor's exotic 7-spheres."--Publisher's description
Eine Invariante für stabil parallelisierte Mannigfaltigkeiten by Matthias Kreck( Book )

17 editions published between 1972 and 1973 in German and Undetermined and held by 65 WorldCat member libraries worldwide

Topology : 31.8. bis 5.9. 1987( Book )

2 editions published in 1987 in English and held by 4 WorldCat member libraries worldwide

Classification and unstable classification of manifolds: some examples by Matthias Kreck( Book )

3 editions published in 1982 in English and held by 4 WorldCat member libraries worldwide

Nonconnected moduli spaces of positive sectional curvature metrics by Matthias Kreck( Book )

4 editions published in 1992 in English and German and held by 3 WorldCat member libraries worldwide

Four-dimensional manifolds : 13.9.1992-19.9.1992( Book )

2 editions published in 1992 in English and held by 3 WorldCat member libraries worldwide

Andrei N. Tyurin; Norbert A'Campo; Selman Akbulut; David Austin; Stefan Alois Bauer; Rozier Brussee; Nicholas Buchdahl; Fabrizio Catanese; Yong Seung Cho; Tim D. Cochran; Wolfgang Ebeling; Allan L. Edmonds; Thomas Fiedler; Sergey Finashin; Ronald A. Fintushel; Kenji Fukaya; Mikio Furuta; Dan-Yan Gan; Robert Gompf; Ian Hambleton; Daniel Huybrechts; Lisa Claire Jeffrey; Dominic Joyce; Robion C. Kirby; Paul A. Kirk; Maxim Kontsevich; Dieter Kotschick; Matthias Kreck; Peter B. Kronheimer; Slawomir Kwasik; Terry C. Lawson; Le Hong Van; Claude LeBrun; Manfred Lehn; Paolo Lisca; Gregor Masbaum; Gordana Matic; Paul Melvin; Kai-Cheong Mong; John W. Morgan; Tomasz S. Mrowka; E. Ben Nasatyr; Kieran O'Grady; Victor Pidstrigach; Volker Puppe; Frank S. Quinn; Dusan Repovs; Daniel Ruberman; Yefim Schwartzman; Brian Steer; Ronald J. Stern; Charles B. Thomas; Oleg J. Viro; Dariusz Wilczynski
Stable prime decompositions of four-manifolds by Matthias Kreck( Book )

1 edition published in 1994 in German and held by 3 WorldCat member libraries worldwide

A guide to the classification of manifolds by Matthias Kreck( Book )

1 edition published in 1997 in English and held by 3 WorldCat member libraries worldwide

Mein Mietnomade und ich by Matthias Kreck( Book )

2 editions published in 2012 in German and held by 3 WorldCat member libraries worldwide

Seine Welt ist die Logik - Martin Beck ist Professor für Mathematik. Dann aber vermietet er seine Mainzer Wohnung an Jörg Kaiser und nichts ist mehr logisch. Dabei war ihm Kaiser zunächst sehr sympathisch: weil er intelligent ist und so schöne altmodische Redewendungen gebraucht. Dann aber zahlt Kaiser monatelang keine Miete. Und auch keinen Strom - er zahlt überhaupt nichts. Die rechtlichen Mittel sind schnell ausgeschöpft und der Mieter ist immer noch in der Beckschen Wohnung. Wie Professor Dr. Martin Beck (d.i. der Autor, Professor Dr. Matthias Kreck) es schafft, seinen Mietnomaden mit Beharrlichkeit, Witz und - jawoll! - Logik aus seiner Wohnung zu bekommen. Wobei er auch vor unkonventionellen Methoden nicht zurückschreckt ... Matthias Kreck, geb. 1947, ist Mathematiker. Nach der Promotion studierte er evangelische Theologie, kehrte aber danach wieder in die Mathematik zurück. Er hat eine Professur an der Universität Bonn und lebt in Mainz und Bonn. In seiner Freizeit spielt er Cello
Positive Krümmung und Topologie differenzierbarer Mannigfaltigkeiten by Matthias Kreck( Book )

3 editions published in 1991 in German and held by 3 WorldCat member libraries worldwide

Topology : 4.9. bis 11.9.1988( Book )

2 editions published in 1988 in German and held by 3 WorldCat member libraries worldwide

H. Azcan, Brighton; Prof. Dr. J. cuntz, Heidelberg; Dr. C.-F. Bödiqheimer, Göttingen; Prof. Dr. T. tom Dieck, Göttingen; Prof. Dr. G. Burde, Frankfurt; Prof. Dr. Dr. h. c. A. Dold, Heidelberg; Prof. Dr. A.V. Cernavski, Moskow; Prof. Dr. M. Domergue, Marseille; Prof. Dr. H. Chaltin, Straßburg; Prof. Dr. A.N. Dranisnikov, Moscow; Prof. Dr. M. Farber, Tel Aviv; Prof. Dr. I. Hambleton, Hamilton; Prof. Dr. R. Fenn, Brighton; Prof. Dr. A. Ph. Harshiladze, Moscow; Prof. Dr. C.M. Gordon, Austin; Dr. H.-W. Henn, Heidelberg; Prof. Dr. A. Haeflinger, Geneve; Dr. J. Huebschmann, Heidelberg; Prof. Dr. S. Jackowski, Warszawa; Prof. Dr. U. Koschorke, Siegen; Prof. Dr. T.V. Kadeishvili, Tbilisi; Prof. Dr. T. Kozniewski, Göttingen; Prof. Dr. G.G. Kasparov, Moscow; Prof. Dr. M. Kreck, Mainz; Dr. C. Kearton, Durham; Dr. W. Lück, Göttingen; Prof. Dr. R.C. Kirby, Berkeley; Prof. Dr. T. Matumoto, Hiroshima; Prof. Dr. W. Metzler, Frankfurt; Prof. Dr. B. Marin, Straßburg; Prof. Dr. H. Miller, Cambridge MA; Prof. Dr. W.D. Neumann, Columbus; Prof. Dr. K.C. Millett, Santa Barbara; Prof. Dr. nguyen H.V. Hung, Hanoi; Prof. Dr. Z.R. Miminoshvili, Tbilisi; Prof. Dr. R. Oliver; Prof. Dr. A.S. Miscenko, Moskow; Prof. Dr. A. Papadopoulos, Straßburg; Prof. Dr. F. Paulin, Orsay; prof. Dr. A.A. Ranicki, Edingburgh; Prof. Dr. E.K. Pedersen, Odense; Prof. Dr. E.G. Rees, Edinburgh; Prof. Dr. D. Puppe, Heidelberg; Prof. Dr. J.B. Rudjak, Moscow; Prof. Dr. V. Puppe, Konstanz; Prof. Dr. L.C. Siebenman, Orsay; Prof. Dr. F.S. Quinn, Blacksburg; Prof. Dr. W. Singhof, Düsseldorf; Prof. Dr. P. Vogel, Nantes; Prof. Dr. E. Vogt, Berlin; Prof. Dr. R. Vogt, Osnabrück; Prof. Dr. F. Waldhausen, Bielefeld; Dr. J. Weidner, Heidelberg
Arbeitsgemeinschaft zu einem aktuellen Thema: Elliptic genera : 6.10. bis 12.10.1991( Book )

2 editions published in 1991 in English and held by 3 WorldCat member libraries worldwide

Peter Slodowy; Thomas Ackermann; Stefan Bechtluft-Sachs; Thomas Berger; Alexander Degtyarev; Anand N. Dessai; Tammo tom Dieck; Alan H. Durfee; Sergey Finashin; Jens Franke; Erhard Gottschling; Walter Gubler; Joachim Hilgert; Gerald Höhn; Jörg Jahnel; Uwe Jannsen; Rainer Jung; Christian Kaiser; Ernst Kani; Bernhard Keller; Hoil Kim; Stephan Klaus; Karlheinz Knapp; Friedrich Knop; Helmut Koch; Matthias Kreck; Herbert Kurke; Gregor Masbaum; Karl Heinz Mayer; Boudewijn Moonen; Wolfgang Müller; Werner Nahm; Nikita Netsvetaev; Serge Ochanine; Shi-shyr Roan; John Rognes; Martin Schottenloher; Wolfgang K. Seiler; Dirk Siersma; Wilhelm Singhof; Jakob Spies; Stephan Stolz; Hirotaka Tamanoi; Peter Teichner; Rainer Vogt; Christian Karl Weber; Fengsheng Yan
Counterexamples to the Kneser conjecture in dimension four by Matthias Kreck( Book )

1 edition published in 1994 in German and held by 3 WorldCat member libraries worldwide

Cancellation, elliptic surfaces and the topology of certain four-manifolds by I Hambleton( Book )

2 editions published in 1991 in English and held by 2 WorldCat member libraries worldwide

Topologie : 1.9. bis 7.9.1991( Book )

2 editions published in 1991 in German and held by 2 WorldCat member libraries worldwide

Roland Schwänzl; Stefan Alois Bauer; Michel Boileau; Aleksei V. Cernavskij; Tammo tom Dieck; Julia Drobotuchina; Steven C. Ferry; Thomas Fiedler; Robert Gompf; Jean-Claude Hausmann; Klaus Johannson; John R. Klein; Maxim Kontsevich; Ulrich Koschorke; Matthias Kreck; M. Paul Latiolais; Wolfgang Lück; Alexis Marin; Wolfgang Metzler; Nikita Netsvetaev; Walter David Neumann; Dietrich Notbohm; Andrej Pazhitnov; Volker Puppe; Andrew A. Ranicki; Elmer G. Rees; Sarah Rees; Laurent C. Siebenmann; Wilhelm Singhof; Stephan Stolz; Peter Teichner; Ulrike Tillmann; Oleg J. Viro; Wolrad Vogell; Rainer Vogt; Shuguang Wang; Steven H. Weintraub; Michael Weiss
 
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Audience Level
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Audience level: 0.68 (from 0.58 for The Noviko ... to 0.94 for Classifica ...)

Bordism of diffeomorphisms and related topics
Alternative Names
Kreck, M.

Kreck, M. 1947-

Matthias Kreck deutscher Mathematiker

Matthias Kreck Duits wiskundige

Matthias Kreck German mathematician

Matthias Kreck matemàtic alemany

Matthias Kreck matematician german

Matthias Kreck matemático alemán

Matthias Kreck matematico tedesco

Matthias Kreck tysk matematikar

Matthias Kreck tysk matematiker

Languages
English (71)

German (30)

Covers
The Novikov conjecture : geometry and algebraDifferential algebraic topology : from stratifolds to exotic spheres