A de Rham theorem in the context of noncommutative geometry.
Displaying 41 – 60 of 311
A Decomposability Criterion for Algebraic 2-Bundles on Projective Spaces.
W. Barth, A. de Van de Ven (1974)
Inventiones mathematicae
A Decomposition Theorem for the Integral Homology of a Variety.
J.B. Carrell, R.M. Goresky (1983)
Inventiones mathematicae
A Definition of Exotic Characteristic Classes of Spherical Fibrations
Douglas C. Ravenel (1972)
Commentarii mathematici Helvetici
A degree for a class of acyclic-valued vector fields in Banach spaces
M. Furi, M. Martelli (1974)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
A degree theory for almost continuous functions
H. DeKleine, Jack Girolo (1978)
Fundamenta Mathematicae
A dimensional property of Cartesian product
Michael Levin (2013)
Fundamenta Mathematicae
We show that the Cartesian product of three hereditarily infinite-dimensional compact metric spaces is never hereditarily infinite-dimensional. It is quite surprising that the proof of this fact (and this is the only proof known to the author) essentially relies on algebraic topology.
A double complex related with a system of partial differential equations. II
Jan Chrastina (1983)
Archivum Mathematicum
A double complex related with a system of partial differential equations. I
Jan Chrastina (1983)
Archivum Mathematicum
A Drived Homotopy Product.
John W. Rutter (1973)
Mathematische Zeitschrift
A duality on simplicial complexes.
Barr, Michael (2002)
Georgian Mathematical Journal
A Duality Theorem for Complex Manifolds.
Daniele Struppa, Cristina Turrini (1984/1985)
Mathematische Zeitschrift
-algebras and topology of mapping tori
Igor Nikolaev (2015)
Czechoslovak Mathematical Journal
The paper studies applications of -algebras in geometric topology. Namely, a covariant functor from the category of mapping tori to a category of -algebras is constructed; the functor takes continuous maps between such manifolds to stable homomorphisms between the corresponding -algebras. We use this functor to develop an obstruction theory for the torus bundles of dimension , and . In conclusion, we consider two numerical examples illustrating our main results.
A Fiber bundle theorem.
Helmut Reckziegel (1992)
Manuscripta mathematica
A Filtration of the Loops on SU (N) by Schubert Varieties.
Steven A. Mitchell (1986)
Mathematische Zeitschrift
A fixed point index for bimaps
Helga Schirmer (1990)
Fundamenta Mathematicae
A Fixed Point Index Theory for Symmetric Product Mappings.
Nancy Rallis (1983)
Manuscripta mathematica
A fixed point theorem in o-minimal structures
Mário J. Edmundo (2007)
Annales de l’institut Fourier
Here we prove an o-minimal fixed point theorem for definable continuous maps on definably compact definable sets, generalizing Brumfiel’s version of the Hopf fixed point theorem for semi-algebraic maps.
A fixed-point theorem for homeomorphisms of
Warren White (1973)
Fundamenta Mathematicae
A formula for the rational LS-category of certain spaces
Luis Lechuga, Aniceto Murillo (2002)
Annales de l’institut Fourier
In this paper we find a formula for the rational LS-category of certain elliptic spaces which generalizes or complements previous work of the subject. This formula is given in terms of the minimal model of the space.