Results 71 to 80 of about 25,187 (240)
Bousfield localisations along Quillen bifunctors and applications [PDF]
, 2014 We describe left and right Bousfield localisations along Quillen adjunctions of two variables. These localised model structures can be used to define Postnikov sections and homological localisations of arbitrary model categories, and to study the ...
Gutierrez, Javier, Roitzheim, Constanze
core
Rational homotopy theory of mapping spaces via Lie theory for L-infinity algebras
, 2015 We calculate the higher homotopy groups of the Deligne–Getzler ∞-groupoid associated to a nilpotent L∞-algebra. As an application, we present a new approach to the rational homotopy theory of mapping spaces.
Berglund, Alexander,
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Homotopy, simple homotopy and compacta
Topology, 1980 Question 1 is related to a series of questions which have been studied over the past 30 yr. Thus, in 1950 J.H.C. Whitehead proved that such a space is homotopy equivalent to an infinite dimensional CW complex. He also asked ([21, p. 1081) whether such a space necessarily had the homotopy type of a finite dimensional CW complex. In 1957, Milnor ([15], p.
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The singularity category and duality for complete intersection groups
Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.Abstract If G$G$ is a finite group, the structure of the modular representation theory depends on the cochains C∗(BG;k)$C^*(BG; k)$, viewed as a commutative ring spectrum. We consider here its singularity category (in the sense of the author and Stevenson [Adv. Math.
J. P. C. Greenlees
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Operads and Γ-homology of commutative rings [PDF]
, 2002 We introduce Γ-homology, the natural homology theory for E[infty infinity]-algebras, and a cyclic version of it. Γ-homology specializes to a new homology theory for discrete commutative rings, very different in general from André–Quillen homology.
Robinson, Alan (C. Alan) +1 more
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Proceedings of the American Mathematical Society, 1990 Summary: A very general theorem is obtained which shows that, under certain conditions, two cosimplicial objects (constructed from triples) are homotopy-equivalent: cosimplicial homotopies are used. A number of applications are given.
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Beyond polyhedral homotopies [PDF]
Journal of Symbolic Computation, 2019 We present a new algorithmic framework which utilizes tropical geometry and homotopy continuation for solving systems of polynomial equations where some of the polynomials are generic elements in linear subspaces of the polynomial ring. This approach generalizes the polyhedral homotopies by Huber and Sturmfels.
Anton Leykin, Josephine Yu
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On the Milnor fibres of initial forms of topologically equivalent holomorphic functions
Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.Abstract Budur, Fernández de Bobadilla, Le, and Nguyen in 2022 conjectured that if two germs of holomorphic functions are topologically equivalent, then the Milnor fibres of their initial forms are homotopy equivalent. In this paper, we give an affirmative answer to this conjecture in the case of plane curves.
José Edson Sampaio
wiley +1 more source
Acta Scientiarum: Technology, 2013 Higher homotopy of graphs has been defined in several articles. However, the existence of a long exact sequence associated to a pair (G, A) has not been touched at. We treat it here.
Mohamed Elamine Talbi, Djilali Benayat
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Rickard's derived Morita theory: Review and outlook
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract We survey the main results in Jeremy Rickard's seminal papers ‘Morita theory for derived categories’ and ‘Derived equivalences and derived functors’. These papers catalysed the later development of the Morita theory of (enhanced) compactly generated triangulated categories by Keller in the algebraic setting and by Schwede and Shipley in the ...
Gustavo Jasso +2 more
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