Zobrazeno 1 - 10
of 16 820
pro vyhledávání: '"Homotopy groups"'
Autor:
Zhu, Zhongjian
In this paper, we develop the new method, initiated by B. Gray (1972), to compute the unstable homotopy groups of the mapping cone, especially for $2$-cell complex $X=S^m\cup_{\alpha} e^{n}$. By Gray's work mentioned above or the traditional method g
Externí odkaz:
http://arxiv.org/abs/2410.20416
Autor:
Behrens, Mark, Malin, Connor
We survey the role of Lie algebras in the study of unstable homotopy groups.
Comment: 16 pages
Comment: 16 pages
Externí odkaz:
http://arxiv.org/abs/2410.18330
Autor:
Saihi, Inès
Publikováno v:
Springer Proceedings in Mathematics \& Statistics 190, 177-192 (2017)
We determine explicitly the stable homotopy groups of Moore spaces up to the range 7, using an equivalence of categories which allows to consider each Moore space as an exact couple of $\mathbb Z$-modules.
Externí odkaz:
http://arxiv.org/abs/2408.15709
We study the $\mathbb{F}_2$-synthetic Adams spectral sequence. We obtain new computational information about $\mathbb{C}$-motivic and classical stable homotopy groups.
Externí odkaz:
http://arxiv.org/abs/2408.00987
Autor:
Druzhinin, Andrei, Sande, Ola
For any base field and integer $l$ invertible in $k$, we prove that $\Omega^\infty_{\mathbb{G}_m}$ and $\Omega^\infty_{\mathbb{P}^1}$ commute with hyper \'etale sheafification $L_{\acute{e}t}$ and Betti realization through infinite loop space theory
Externí odkaz:
http://arxiv.org/abs/2408.09990
Autor:
Yang, Juxin, Wu, Jie
This paper tackles the extension problems for three far-unsatble homotopy groups $\pi_{39}(S^{6})$, $\pi_{40}(S^{7})$, and $\pi_{41}(S^{8})$ localized at 2, the puzzles having remained unsolved for forty-five years. By a Toda bracket indexed by 1 inc
Externí odkaz:
http://arxiv.org/abs/2406.08621
In this paper, we demonstrate the non-existence of a computational algorithm capable of determining whether the second homotopy group of any compact constructive topological space is trivial. This finding shows the inherent limitations of computer me
Externí odkaz:
http://arxiv.org/abs/2407.18537