The Boardman category of spectra, chain complexes and (co)-localizations.
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Bauer, Friedrich W. (1999)
Homology, Homotopy and Applications
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.
M. W. Warner (1969)
Marek Golasiński, Grzegorz Gromadzki (1982)
Colloquium Mathematicae
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.
Bernd Günther (1992)
Fundamenta Mathematicae
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.
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