Madsen, I. H. (Ib Henning) 1942
Overview
Works:  129 works in 443 publications in 4 languages and 3,012 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Other, Publishing director 
Classifications:  QA612, 514.2 
Publication Timeline
.
Most widely held works by
I. H Madsen
From calculus to cohomology : de Rham cohomology and characteristic classes by
I. H Madsen(
Book
)
22 editions published between 1996 and 2003 in English and Italian and held by 471 WorldCat member libraries worldwide
De Rham cohomology is the cohomology of differential forms. This book offers a selfcontained exposition to this subject and to the theory of characteristic classes from the curvature point of view. It requires no prior knowledge of the concepts of algebraic topology or cohomology. The first 10 chapters study cohomology of open sets in Euclidean space, treat smooth manifolds and their cohomology and end with integration on manifolds. The last 11 chapters cover Morse theory, index of vector fields, Poincare duality, vector bundles, connections and curvature, Chern and Euler classes, and Thom isomorphism, and the book ends with the general GaussBonnet theorem
22 editions published between 1996 and 2003 in English and Italian and held by 471 WorldCat member libraries worldwide
De Rham cohomology is the cohomology of differential forms. This book offers a selfcontained exposition to this subject and to the theory of characteristic classes from the curvature point of view. It requires no prior knowledge of the concepts of algebraic topology or cohomology. The first 10 chapters study cohomology of open sets in Euclidean space, treat smooth manifolds and their cohomology and end with integration on manifolds. The last 11 chapters cover Morse theory, index of vector fields, Poincare duality, vector bundles, connections and curvature, Chern and Euler classes, and Thom isomorphism, and the book ends with the general GaussBonnet theorem
The classifying spaces for surgery and cobordism of manifolds by
I. H Madsen(
Book
)
17 editions published between 1979 and 2016 in English and held by 443 WorldCat member libraries worldwide
Beginning with a general discussion of bordism, Professors Madsen and Milgram present the homotopy theory of the surgery classifying spaces and the classifying spaces for the various required bundle theories. The next part covers more recent work on the maps between these spaces and the properties of the PL and Top characteristic classes, and includes integrality theorems for topological and PL manifolds. Later chapters treat the integral cohomology of BPL and Btop. The authors conclude with a discussion of the PL and topological cobordism rings and a construction of the torsionfree generators
17 editions published between 1979 and 2016 in English and held by 443 WorldCat member libraries worldwide
Beginning with a general discussion of bordism, Professors Madsen and Milgram present the homotopy theory of the surgery classifying spaces and the classifying spaces for the various required bundle theories. The next part covers more recent work on the maps between these spaces and the properties of the PL and Top characteristic classes, and includes integrality theorems for topological and PL manifolds. Later chapters treat the integral cohomology of BPL and Btop. The authors conclude with a discussion of the PL and topological cobordism rings and a construction of the torsionfree generators
Algebraic topology, Aarhus 1978 : proceedings of a symposium held at Aarhus, Denmark, August 712, 1978 by
Symposium on Algebraic Topology(
Book
)
29 editions published in 1979 in 3 languages and held by 406 WorldCat member libraries worldwide
29 editions published in 1979 in 3 languages and held by 406 WorldCat member libraries worldwide
Algebraic topology, Aarhus 1982 : proceedings of a conference held in Aarhus, Denmark, August 17, 1982 by
I. H Madsen(
Book
)
34 editions published in 1984 in 3 languages and held by 393 WorldCat member libraries worldwide
34 editions published in 1984 in 3 languages and held by 393 WorldCat member libraries worldwide
Geometry and topology, Aarhus : conference on geometry and topology, August 1016, 1998, Aarhus University, Aarhus, Denmark by Conference on geometry and topology(
Book
)
14 editions published between 2000 and 2012 in English and held by 219 WorldCat member libraries worldwide
14 editions published between 2000 and 2012 in English and held by 219 WorldCat member libraries worldwide
Lectures on characteristic classes in algebraic topology by
I. H Madsen(
Book
)
17 editions published between 1986 and 1988 in English and Undetermined and held by 84 WorldCat member libraries worldwide
17 editions published between 1986 and 1988 in English and Undetermined and held by 84 WorldCat member libraries worldwide
Introduktion til algebraisk topologi, differentialformer og karakteristiske klasser by
I. H Madsen(
Book
)
6 editions published in 1993 in Danish and Undetermined and held by 54 WorldCat member libraries worldwide
6 editions published in 1993 in Danish and Undetermined and held by 54 WorldCat member libraries worldwide
Reidemeister Torsion, surgery invariants and spherical space forms by
I. H Madsen(
Book
)
9 editions published between 1981 and 1982 in English and held by 12 WorldCat member libraries worldwide
9 editions published between 1981 and 1982 in English and held by 12 WorldCat member libraries worldwide
Algebraic topology 1981 by Topology Seminar(
Book
)
6 editions published in 1982 in English and German and held by 9 WorldCat member libraries worldwide
6 editions published in 1982 in English and German and held by 9 WorldCat member libraries worldwide
Spherical space forms by
I. H Madsen(
Book
)
7 editions published between 1978 and 1980 in English and held by 9 WorldCat member libraries worldwide
7 editions published between 1978 and 1980 in English and held by 9 WorldCat member libraries worldwide
The oriented bordism of topological manifolds and integrality relations by
I. H Madsen(
Book
)
6 editions published between 1975 and 1977 in English and Danish and held by 8 WorldCat member libraries worldwide
6 editions published between 1975 and 1977 in English and Danish and held by 8 WorldCat member libraries worldwide
Semifree actions on R n with one fixed point by
I Hambleton(
Book
)
5 editions published between 1981 and 1982 in English and held by 7 WorldCat member libraries worldwide
5 editions published between 1981 and 1982 in English and held by 7 WorldCat member libraries worldwide
Divisibility of the stable MillerMoritaMumford class by
Søren Galatius(
Book
)
4 editions published in 2005 in English and held by 7 WorldCat member libraries worldwide
4 editions published in 2005 in English and held by 7 WorldCat member libraries worldwide
Sange fra Stilladset, 2 by Dagen Derpå(
Recording
)
6 editions published in 1981 in Undetermined and held by 7 WorldCat member libraries worldwide
6 editions published in 1981 in Undetermined and held by 7 WorldCat member libraries worldwide
Sange fra Stilladset og andre steder by Dagen Derpå(
Recording
)
6 editions published in 1980 in Undetermined and held by 7 WorldCat member libraries worldwide
6 editions published in 1980 in Undetermined and held by 7 WorldCat member libraries worldwide
The stable moduli space of Riemann surfaces : Mumford's conjecture by
I. H Madsen(
Book
)
4 editions published in 2003 in English and held by 7 WorldCat member libraries worldwide
4 editions published in 2003 in English and held by 7 WorldCat member libraries worldwide
On the de RhamWitt complex in mixed characteristic by
Lars Hesselholt(
Book
)
4 editions published in 2002 in English and held by 7 WorldCat member libraries worldwide
4 editions published in 2002 in English and held by 7 WorldCat member libraries worldwide
Algebraic topology by
Johan L Dupont(
Book
)
4 editions published between 1979 and 2008 in Undetermined and English and held by 3 WorldCat member libraries worldwide
4 editions published between 1979 and 2008 in Undetermined and English and held by 3 WorldCat member libraries worldwide
Classifying Spaces for Surgery and Corbordism of Manifolds. (AM92) by
I. H Madsen(
Book
)
2 editions published between 1979 and 1980 in English and held by 1 WorldCat member library worldwide
2 editions published between 1979 and 1980 in English and held by 1 WorldCat member library worldwide
Classifying Spaces for Surgery and Corbordism of Manifolds. (AM92) by
I. H Madsen(
)
1 edition published in 2016 in English and held by 0 WorldCat member libraries worldwide
Beginning with a general discussion of bordism, Professors Madsen and Milgram present the homotopy theory of the surgery classifying spaces and the classifying spaces for the various required bundle theories. The next part covers more recent work on the maps between these spaces and the properties of the PL and Top characteristic classes, and includes integrality theorems for topological and PL manifolds. Later chapters treat the integral cohomology of BPL and Btop. The authors conclude with a discussion of the PL and topological cobordism rings and a construction of the torsionfree generators
1 edition published in 2016 in English and held by 0 WorldCat member libraries worldwide
Beginning with a general discussion of bordism, Professors Madsen and Milgram present the homotopy theory of the surgery classifying spaces and the classifying spaces for the various required bundle theories. The next part covers more recent work on the maps between these spaces and the properties of the PL and Top characteristic classes, and includes integrality theorems for topological and PL manifolds. Later chapters treat the integral cohomology of BPL and Btop. The authors conclude with a discussion of the PL and topological cobordism rings and a construction of the torsionfree generators
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Audience Level
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Related Identities
 Milgram, R. James Contributor
 Dupont, Johan L. Author Editor
 Tornehave, Jørgen
 Oliver, Robert 1949 Editor
 Pedersen, Erik Kjær 1946 Other Editor
 Grove, Karsten Other Editor
 Oliver, Robert 1949 Other Editor
 Aarhus Universitet Publisher
 Rothenberg, Melvin
 Hesselholt, Lars Author
Useful Links
Alternative Names
Ib Madsen dänischer Mathematiker
Ib Madsen Danish mathematician
Ib Madsen matemático danés
Ib Madsen wiskundige uit Denemarken
Madse, Ib 1942...
Madsen, I.
Madsen, I. 1942
Madsen, I.H.
Madsen, I. (Ib), 1942
Madsen, Ib
Madsen, Ib 1942
Madsen, Ib. H.
Madsen, Ib H. 1942
Madsen, Ib. Henning
Madsen, Ib Henning 1942
Medsen, I. 1942
Мадсен, И 1942
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