Realization of homotopy classes by algebraic mappings.
J. Bochnak, W. Kucharz (1987)
Journal für die reine und angewandte Mathematik
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J. Bochnak, W. Kucharz (1987)
Journal für die reine und angewandte Mathematik
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José Felipe Voloch, Karl-Otto Stöhr (1987)
Journal für die reine und angewandte Mathematik
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Tammo tom Dieck (1978)
Journal für die reine und angewandte Mathematik
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George R. Kempf (1977)
Journal für die reine und angewandte Mathematik
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Mahowald, Mark (1998)
Documenta Mathematica
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Tomonori Fukunaga (2011)
Fundamenta Mathematicae
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We give a homotopy classification of nanophrases with at most four letters. It is an extension of the classification of nanophrases of length 2 with at most four letters, given by the author in a previous paper. As a corollary, we give a stable classification of ordered, pointed, oriented multi-component curves on surfaces with minimal crossing number less than or equal to 2 such that any equivalent curve has no simply closed curves in its components.
Voevodsky, Vladimir (1998)
Documenta Mathematica
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Aouina, Mokhtar, Klein, John R. (2004)
Algebraic & Geometric Topology
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Goubault, Eric (2003)
Homology, Homotopy and Applications
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Hans Delfs (1984)
Journal für die reine und angewandte Mathematik
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Timothy Porter (2013)
Annales de la faculté des sciences de Toulouse Mathématiques
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The aim of this article is to bring together various themes from fairly elementary homotopy theory and to examine them, in part, from a historical and philosophical viewpoint.
Michael Mather, Marshall Walker (1980)
Mathematische Zeitschrift
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Dennis Sullivan (2009)
Banach Center Publications
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Using the algebraic theory of homotopies between maps of dga's we obtain a homotopy theory for algebraic structures defined by collections of multiplications and comultiplications. This is done by expressing these structures and resolved versions of them in terms of dga maps. This same homotopy theory of dga maps applies to extract invariants beyond homological periods from systems of moduli spaces that determine systems of chains that satisfy master equations like dX + X*X = 0. Minimal...
Tammo Tom Dieck (1971)
Compositio Mathematica
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