Výsledky vyhledávání - "Markus Spitzweck"

Existence and uniqueness of $$E_{\infty }$$ E ∞ structures on motivic $$K$$ K -theory spectra

Autor: Niko Naumann, Paul Arne Østvær, Markus Spitzweck

Publikováno v: Journal of Homotopy and Related Structures. 10:333-346

We show that algebraic ${\textit{K}}$-theory $\mathsf {KGL}$, the motivic Adams summand $\mathsf {ML}$ and their connective covers acquire unique $E_{\infty }$ structures refining naive multiplicative structures in the motivic stable homotopy

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::c0d4bc3fdabcc06923eeaa76eb6ac93b
https://doi.org/10.1007/s40062-013-0062-3

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The first stable homotopy groups of motivic spheres

Autor: Markus Spitzweck, Paul Arne Østvær, Oliver Röndigs

We compute the 1-line of stable homotopy groups of motivic spheres over fields of characteristic not two in terms of hermitian and Milnor K-groups. This is achieved by solving questions about convergence and differentials in the slice spectral sequen

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f22628e2cc2ebc6b44a8604443b1a17b
http://arxiv.org/abs/1604.00365

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Brown representability in 1-homotopy theory

Autor: Niko Naumann, Markus Spitzweck

Publikováno v: Journal of K-theory. 7:527-539

We prove the following result announced by V. Voevodsky. If S is a finite dimensional noetherian scheme such that S = ∪αSpec(Rα) for countable rings Rα, then the stable motivic homotopy category over S satisfies Brown representability.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::29f4a2bd15ea5cb6ee9f12c9fee2d922
https://doi.org/10.1017/is011003012jkt148

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Universality of mod-p cohomology

Autor: Paul Arne Østvær, Markus Spitzweck

Publikováno v: Topology and its Applications. 157:2864-2872

Let p be an odd prime number. We relate the algebraic notion of a mod-p formal group law and the topological notion of a mod-p oriented ring spectrum. It is shown that there exists a universal mod-p oriented ring spectrum MO p which splits as a wedge

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c5991c6e27e760bd13b725d9fa2a47aa
https://doi.org/10.1016/j.topol.2010.09.004

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Homotopy limits of model categories over inverse index categories

Autor: Markus Spitzweck

Publikováno v: Journal of Pure and Applied Algebra. 214(6):769-777

In this note we give a model category theoretic interpretation of the homotopy colimit of the diagram of simplicial localizations coming from a diagram of model categories in the case of an inverse indexing category.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8d19e859467b867b851478e8c6e8a0f2

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Motivic strict ring models for 𝐾-theory

Autor: Oliver Röndigs, Paul Arne Østvær, Markus Spitzweck

Publikováno v: Proceedings of the American Mathematical Society. 138:3509-3520

It is shown that theKK-theory of every noetherian base scheme of finite Krull dimension is represented by a commutative strict ring object in the setting of motivic stable homotopy theory. The adjective ‘strict’ is used here in order to distingui

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::36e8d323688f181fc11490e9316b8a8c
https://doi.org/10.1090/s0002-9939-10-10394-3

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Relations between slices and quotients of the algebraic cobordism spectrum

Autor: Markus Spitzweck

Publikováno v: Homology Homotopy Appl. 12, no. 2 (2010), 335-351

We prove a relative statement about the slices of the algebraic cobordism spectrum. If the map from MGL to a certain quotient of MGL introduced by Hopkins and Morel is the map to the zero-slice then a relative version of Voevodsky's conjecture on the

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f57842435e82f31d84f4d54f904870c3
https://doi.org/10.4310/hha.2010.v12.n2.a11

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