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pro vyhledávání: '"Fuentes, Mario"'
A Lie characterization of the Bousfield-Kan ${\mathbb{Q}}$-completion and ${\mathbb{Q}}$-good spaces
We prove that the unit of the Quillen pair ${\mathfrak{L}}\colon {\bf sset}\rightleftarrows {\bf cdgl}\colon {\langle\,\cdot\,\rangle}$ given by the model and realization functor is, up to homotopy, the Bousfield-Kan ${\mathbb{Q}}$-completion.
Externí odkaz:
http://arxiv.org/abs/2407.02812
Autor:
Fuentes, Mario
In an arbitrary complete differential graded Lie algebra, we construct a group operation $\bullet$ on $L_1$ such that the differential of the product of two elements is the Baker-Campbell-Hausdorff product of their differentials, i.e., $d(x\bullet y)
Externí odkaz:
http://arxiv.org/abs/2405.12396
For any group $G$ of self homotopy equivalences of the finite nilpotent complex $X$, acting nilpotently on its homology, and for any nilpotent subcomplex $A$, we prove that the universal fibration $$ X \longrightarrow B(*,{\rm aut}^{A}_G(X),X)\longri
Externí odkaz:
http://arxiv.org/abs/2311.14132
Autor:
Gonzalez-Fuentes, Mario, Gilbert, Jonathan Ross, Scherer, Robert F., Iglesias-Fernandez, Carlos
Publikováno v:
Journal of Historical Research in Marketing, 2024, Vol. 16, Issue 3, pp. 258-282.
Externí odkaz:
http://www.emeraldinsight.com/doi/10.1108/JHRM-07-2023-0027
We prove that for any reduced differential graded Lie algebra L, the classical Quillen geometrical realization $\langle L\rangle_Q$ is homotopy equivalent to the realization $\langle L\rangle= Hom_{\bf cdgl}(\mathfrak{L}_\bullet, L)$ constructed via
Externí odkaz:
http://arxiv.org/abs/2207.10886
We construct Lie algebras of derivations (and identify their geometrical realization) whose Maurer-Cartan sets provide moduli spaces describing the classes of homotopy types of rational spaces sharing either the same homotopy Lie algebra, homology or
Externí odkaz:
http://arxiv.org/abs/2206.14124
Given $X$ a finite nilpotent simplicial set, consider the classifying fibrations $$ X\to Baut_G^*(X)\to Baut_G(X),\qquad X\to Z\to Baut_{\pi}^*(X), $$ where $G$ and $\pi$ denote, respectively, subgroups of the free and pointed homotopy classes of fre
Externí odkaz:
http://arxiv.org/abs/2103.06543