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Lukáš Vokřínek (2014)
Archivum Mathematicum
In this paper, we show how certain “stability phenomena” in unpointed model categories provide the sets of homotopy classes with a canonical structure of an abelian heap, i.e. an abelian group without a choice of a zero. In contrast with the classical situation of stable (pointed) model categories, these sets can be empty.
Jerome William Hoffman (1996)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
Hardie, K.A., Kamps, K.H., Kieboom, R.W. (1999)
Homology, Homotopy and Applications
Jean Marc Cordier (1987)
Manuscripta mathematica
Gaucher, Philippe (2009)
Theory and Applications of Categories [electronic only]
Marek Golasiński (1981)
Fundamenta Mathematicae
Murray Heggie (1992)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
Murray Heggie (1993)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
Bisson, Terrence, Tsemo, Aristide (2011)
The New York Journal of Mathematics [electronic only]
Antonio R. Garzon, Jesus G. Miranda (1997)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
F. J. Díaz, S. Rodríguez-Machín (2001)
Extracta Mathematicae
Dennis Sullivan (2009)
Banach Center Publications
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 models of...
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