Zobrazeno 1 - 10
of 47
pro vyhledávání: '"Stelzer, Manfred"'
Autor:
Stelzer, Manfred
We show nilpotency and completeness results for the homotopy automorphisms of a marked n-stage for an unstable coalgebra. These objects figure in the moduli problem of unstable coalgebras. Our theorems extend classical work of Dror, Zabrodsky, Maruya
Externí odkaz:
http://arxiv.org/abs/2110.09122
Autor:
Stelzer, Manfred
We show that a version of the cube axiom holds in cosimplicial unstable coalgebras and cosimplicial spaces equipped with a resolution model structure. As an application, classical theorems in unstable homotopy theory are extended to this context.
Externí odkaz:
http://arxiv.org/abs/2110.09119
Unstable coalgebras over the Steenrod algebra form a natural target category for singular homology with prime field coefficients. The realization problem asks whether an unstable coalgebra is isomorphic to the homology of a topological space. We stud
Externí odkaz:
http://arxiv.org/abs/1409.0410
Publikováno v:
Algebr. Geom. Topol. 16 (2016) 711-755
We develop an alternative to the May-Thomason construction used to compare operad based infinite loop machines to that of Segal, which relies on weak products. Our construction has the advantage that it can be carried out in $Cat$, whereas their cons
Externí odkaz:
http://arxiv.org/abs/1311.2817
Autor:
Stelzer, Manfred
Publikováno v:
In Journal of Pure and Applied Algebra June 2019 223(6):2455-2473
Autor:
Stelzer, Manfred
A group completion functor Q is constructed in the category of algebras in simplicial sets over a cofibrant E_n-operad M. It is shown that Q defines a Bousfield-Friedander simplicial model category on M-algebras.
Externí odkaz:
http://arxiv.org/abs/1111.5745
Publikováno v:
Algebr. Geom. Topol. 13 (2013) 127-169
We employ the Goodwillie spectral sequence for the iterated loop space functor in order to provide realizability conditions on certain unstable modules over the Steenrod algebra at an odd prime.
Comment: Two figures, uses tikz; minor modificatio
Comment: Two figures, uses tikz; minor modificatio
Externí odkaz:
http://arxiv.org/abs/1110.2370
We extend Thomason's homotopy colimit construction in the category of permutative categories to categories of algebras over an arbitrary $\Cat$ operad and analyze its properties. We then use this homotopy colimit to prove that the classifying space f
Externí odkaz:
http://arxiv.org/abs/1109.0265