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  • 1.
    Chacholski, Wojciech
    et al.
    KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
    Scherer, Jerome
    Representations of spaces2008In: Algebraic and Geometric Topology, ISSN 1472-2747, E-ISSN 1472-2739, Vol. 8, no 1, p. 245-278Article in journal (Refereed)
    Abstract [en]

    We explain how the notion of homotopy colimits gives rise to that of mapping spaces, even in categories which are not simplicial. We apply the technique of model approximations and use elementary properties of the category of spaces to be able to construct resolutions. We prove that the homotopy category of any monoidal model category is always a central algebra over the homotopy category of Spaces.

  • 2.
    Ziegenhagen, Stephanie
    KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
    En-cohomology with coefficients as functor cohomology2016In: Algebraic and Geometric Topology, ISSN 1472-2747, E-ISSN 1472-2739, Vol. 16, no 5, p. 2981-3004Article in journal (Refereed)
    Abstract [en]

    Building on work of Livernet and Richter, we prove that En -homology and En - cohomology of a commutative algebra with coefficients in a symmetric bimodule can be interpreted as functor homology and cohomology. Furthermore, we show that the associated Yoneda algebra is trivial.

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