-homotopy and refinement of observation. II: Adding new -homotopy equivalences.
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Displaying 1 – 20 of 28
Taylor towers of symmetric and exterior powers
Brenda Johnson, Randy McCarthy (2008)
Fundamenta Mathematicae
We study the Taylor towers of the nth symmetric and exterior power functors, Spⁿ and Λⁿ. We obtain a description of the layers of the Taylor towers, and , in terms of the first terms in the Taylor towers of and for t < n. The homology of these first terms is related to the stable derived functors (in the sense of Dold and Puppe) of and . We use stable derived functor calculations of Dold and Puppe to determine the lowest nontrivial homology groups for and .
The Boardman category of spectra, chain complexes and (co)-localizations.
Bauer, Friedrich W. (1999)
Homology, Homotopy and Applications
The branching nerve of HDA and the Kan condition.
Gaucher, Philippe (2003)
Theory and Applications of Categories [electronic only]
The category of long exact sequences and the homotopy exact sequence of modules.
Su, C.Joanna (2003)
International Journal of Mathematics and Mathematical Sciences
The cohomology ring of free loop spaces.
Menichi, Luc (2001)
Homology, Homotopy and Applications
The construction of 3-Lie 2-algebras
Chunyue Wang, Qingcheng Zhang (2018)
Czechoslovak Mathematical Journal
We construct a 3-Lie 2-algebra from a 3-Leibniz algebra and a Rota-Baxter 3-Lie algebra. Moreover, we give some examples of 3-Leibniz algebras.
The equivalence of -groupoids and crossed complexes
Ronald Brown, Philip J. Higgins (1981)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
The equivalence of -groupoids and cubical -complexes
Ronald Brown, Philip J. Higgins (1981)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
The Euler characteristic of a category.
Leinster, Tom (2008)
Documenta Mathematica
The Exponential Law of Maps. II.
Peter I. Booth (1971)
Mathematische Zeitschrift
The fundamental group of balanced simplicial complexes and posets.
Klee, Steven (2009)
The Electronic Journal of Combinatorics [electronic only]
The homology of tensor products [Book]
M. W. Warner (1969)
The homology of Ω(X v Y).
J. Aguadé, M. Castellet (1978)
Collectanea Mathematica
The homotopy category of chain complexes is a homotopy category
Marek Golasiński, Grzegorz Gromadzki (1982)
Colloquium Mathematicae
The Künneth Formula in Cyclic Homology.
Dan Burghelea, Crichton Ogle (1986)
Mathematische Zeitschrift
The moduli space of n tropically collinear points in Rd.
Mike Develin (2005)
Collectanea Mathematica
The tropical semiring (R, min, +) has enjoyed a recent renaissance, owing to its connections to mathematical biology as well as optimization and algebraic geometry. In this paper, we investigate the space of labeled n-point configurations lying on a tropical line in d-space, which is interpretable as the space of n-species phylogenetic trees. This is equivalent to the space of n x d matrices of tropical rank two, a simplicial complex. We prove that this simplicial complex is shellable for dimension...
The S1-CW decomposition of the geometric realization of a cyclic set
Zbigniew Fiedorowicz, Wojciech Gajda (1994)
Fundamenta Mathematicae
We show that the geometric realization of a cyclic set has a natural, -equivariant, cellular decomposition. As an application, we give another proof of a well-known isomorphism between cyclic homology of a cyclic space and -equivariant Borel homology of its geometric realization.
The tropical Grassmannian.
Speyer, David, Sturmfels, Bernd (2004)
Advances in Geometry
The universal functorial Lefschetz invariant
Wolfgang Lück (1999)
Fundamenta Mathematicae
We introduce the universal functorial Lefschetz invariant for endomorphisms of finite CW-complexes in terms of Grothendieck groups of endomorphisms of finitely generated free modules. It encompasses invariants like Lefschetz number, its generalization to the Lefschetz invariant, Nielsen number and -torsion of mapping tori. We examine its behaviour under fibrations.
Currently displaying 1 – 20 of 28
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