Results 41 to 50 of about 6,556,269 (259)
Some examples of nontrivial homotopy groups of modules
International Journal of Mathematics and Mathematical Sciences, 2001 The concept of the homotopy theory of modules was discovered by Peter Hilton as a result of his trip in 1955 to Warsaw, Poland, to work with Karol Borsuk, and to Zurich, Switzerland, to work with Beno Eckmann.
C. Joanna Su
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Gauge invariant perturbation theory via homotopy transfer
Journal of High Energy Physics, 2021 We show that the perturbative expansion of general gauge theories can be expressed in terms of gauge invariant variables to all orders in perturbations. In this we generalize techniques developed in gauge invariant cosmological perturbation theory, using
Christoph Chiaffrino +2 more
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The homotopy type of the polyhedral product for shifted complexes [PDF]
, 2013 We prove a conjecture of Bahri, Bendersky, Cohen and Gitler: if K is a shifted simplicial complex on n vertices,X1,...,Xn are pointed connected CW-complexes and CXi is the cone on Xi, then the polyhedral product determined by K and the pairs (C Xi , Xi )
Theriault, Stephen, Grbić, Jelena
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Reconstructing rational stable motivic homotopy theory [PDF]
Compositio Mathematica, 2017 Using a recent computation of the rational minus part of $SH(k)$ by Ananyevskiy, Levine and Panin, a theorem of Cisinski and Déglise and a version of the Röndigs and Østvær theorem, rational stable motivic homotopy theory over an infinite perfect field ...
G. Garkusha
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The Derivatives of Homotopy Theory [PDF]
Transactions of the American Mathematical Society, 1995 We construct a functor of spaces, M n {M_n}
openaire +2 more sources
Lawvere-Tierney sheafification in Homotopy Type Theory [PDF]
, 2016 International audienceSheafification is a popular tool in topos theory which allows to extend the internal logic of a topos with new principles. One of its most famous applications is the possibility to transform a topos into a boolean topos using the ...
Tabareau, Nicolas, Quirin, Kevin
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Chromatic homotopy theory is asymptotically algebraic [PDF]
Inventiones Mathematicae, 2017 Inspired by the Ax–Kochen isomorphism theorem, we develop a notion of categorical ultraproducts to capture the generic behavior of an infinite collection of mathematical objects.
T. Barthel +2 more
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, 2023 The workshop brought together experts in homotopy theory from many areas, including chromatic homotopy theory, algebraic K-theory, derived algebra and equivariant homotopy theory. We had a lecture series on the recent disproof of the telescope conjecture.
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Eilenberg–Maclane spaces and stabilisation in homotopy type theory
, 2023 In this note, we study the delooping of spaces and maps in homotopy type theory. We show that in some cases, spaces have a unique delooping, and give a simple description of the delooping in these cases.
Wärn, David,, David Wärn
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Differential contracting homotopy in higher-spin theory
Journal of High Energy Physics, 2023 A new efficient approach to the analysis of nonlinear higher-spin equations, that treats democratically auxiliary spinor variables Z A and integration homotopy parameters in the non-linear vertices of the higher-spin theory, is developed.
M. A. Vasiliev
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