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On some new model category structures from old, on the same underlying category
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Alexandru E. Stanculescu
Veröffentlicht/Copyright:
11. April 2013
Abstract
We make a study of ℓℓ-extensions of model category structures. We prove an existence result of ℓℓ-extensions, present some specific and some rather formal results about them and give an application of the existence result to the homotopy theory of categories enriched over a monoidal model category.
Keywords: Model category
Funding source: Operational Programme Education for Competitiveness of the Ministry of Education, Youth and Sports of the Czech Republic
Award Identifier / Grant number: CZ.1.07/2.3.00/20.0003
I would like to thank the referee for his or her suggestions and I. Amrani, M. Korbelář, G. Raptis and O. Raventos for useful discussions about the material of this paper.
Received: 2012-11-25
Revised: 2013-1-27
Published Online: 2013-4-11
Published in Print: 2015-5-1
© 2015 by De Gruyter
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Artikel in diesem Heft
- Frontmatter
- Nielsen numbers of maps of aspherical figure-eight type polyhedra
- Simplicial geometry of unital lattice-ordered abelian groups
- Upper triangular matrices and operations in odd primary connective K-theory
- Solving quintic equations by two-fold origami
- Orthogonality of polynomials and orthosymmetry
- The moduli space of 4-dimensional non-nilpotent complex associative algebras
- Improvement of eigenfunction estimates on manifolds of nonpositive curvature
- Unramified representations of the universal central extension of SL2(𝔽q((z)))
- Languages associated with saturated formations of groups
- On some new model category structures from old, on the same underlying category
- On functions of bounded Λ-variation and integral smoothness
- Ring coproducts embedded in power-series rings
- A uniform bound for geodesic periods of eigenfunctions on hyperbolic surfaces
- Action-induced nested classes of groups and jump (co)homology
- The convergence of the product γ˜p-1h0bn-1 in the Adams spectral sequence
- Product graphs, sum-product graphs and sum-product estimates over finite rings
- BV functions in a Gelfand triple for differentiable measure and its applications
- The variety of nilpotent elements and invariant polynomial functions on the special algebra Sn
- The Lefschetz coincidence class of p maps
- The natural pseudo-distance as a quotient pseudo-metric, and applications
- On a class of parametric Neumann problems with indefinite and unbounded potential
- An estimate on the heat kernel of Schrödinger operators with non-negative potentials on nilpotent Lie groups and its applications
- A hybrid Euler–Hadamard product and moments of ζ'(ρ)
- Legendrian realization in convex Lefschetz fibrations and convex stabilizations
- Recollements induced from tilting modules over tame hereditary algebras
- Corrigendum to On some multiplicity and mixed multiplicity formulas [Forum Math. 26 (2014), 413–442]
Schlagwörter für diesen Artikel
Model category
Artikel in diesem Heft
- Frontmatter
- Nielsen numbers of maps of aspherical figure-eight type polyhedra
- Simplicial geometry of unital lattice-ordered abelian groups
- Upper triangular matrices and operations in odd primary connective K-theory
- Solving quintic equations by two-fold origami
- Orthogonality of polynomials and orthosymmetry
- The moduli space of 4-dimensional non-nilpotent complex associative algebras
- Improvement of eigenfunction estimates on manifolds of nonpositive curvature
- Unramified representations of the universal central extension of SL2(𝔽q((z)))
- Languages associated with saturated formations of groups
- On some new model category structures from old, on the same underlying category
- On functions of bounded Λ-variation and integral smoothness
- Ring coproducts embedded in power-series rings
- A uniform bound for geodesic periods of eigenfunctions on hyperbolic surfaces
- Action-induced nested classes of groups and jump (co)homology
- The convergence of the product γ˜p-1h0bn-1 in the Adams spectral sequence
- Product graphs, sum-product graphs and sum-product estimates over finite rings
- BV functions in a Gelfand triple for differentiable measure and its applications
- The variety of nilpotent elements and invariant polynomial functions on the special algebra Sn
- The Lefschetz coincidence class of p maps
- The natural pseudo-distance as a quotient pseudo-metric, and applications
- On a class of parametric Neumann problems with indefinite and unbounded potential
- An estimate on the heat kernel of Schrödinger operators with non-negative potentials on nilpotent Lie groups and its applications
- A hybrid Euler–Hadamard product and moments of ζ'(ρ)
- Legendrian realization in convex Lefschetz fibrations and convex stabilizations
- Recollements induced from tilting modules over tame hereditary algebras
- Corrigendum to On some multiplicity and mixed multiplicity formulas [Forum Math. 26 (2014), 413–442]
