On adelic Chern forms and the Bott residue formula
Amnon Yekutieli (1996)
Banach Center Publications
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Amnon Yekutieli (1996)
Banach Center Publications
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Vigué-Poirrier, Micheline (2003)
AMA. Algebra Montpellier Announcements [electronic only]
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Piotr Pragacz (1996)
Banach Center Publications
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The goal of this paper is at least two-fold. First we attempt to give a survey of some recent (and developed up to the time of the Banach Center workshop Parameter Spaces, February '94) applications of the theory of symmetric polynomials and divided differences to intersection theory. Secondly, taking this opportunity, we complement the story by either presenting some new proofs of older results (and this takes place usually in the Appendices to the present paper) or providing some new...
G. Padilla (2003)
Extracta Mathematicae
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Ndombol, Bitjong (2005)
AMA. Algebra Montpellier Announcements [electronic only]
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Wojciech Kucharz (2008)
Annales de l’institut Fourier
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There is a large research program focused on comparison between algebraic and topological categories, whose origins go back to 1952 and the celebrated work of J. Nash on real algebraic manifolds. The present paper is a contribution to this program. It investigates the homology and cohomology classes represented by real algebraic sets. In particular, such classes are studied on algebraic models of smooth manifolds.
Kerz, Moritz C. (2005)
Homology, Homotopy and Applications
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Tutaj-Gasińska, Halszka (2003)
Beiträge zur Algebra und Geometrie
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Burgos Gil, José I., Litcanu, Razvan (2010)
Documenta Mathematica
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Bernd Günther (1992)
Fundamenta Mathematicae
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We show that the Vietoris system of a space is isomorphic to a strong expansion of that space in the Steenrod homotopy category, and from this we derive a simple description of strong homology. It is proved that in ZFC strong homology does not have compact supports, and that enforcing compact supports by taking limits leads to a homology functor that does not factor over the strong shape category. For compact Hausdorff spaces strong homology is proved to be isomorphic to Massey's homology. ...