3 citations · 5 across the 7 of their papers we have counts for
8 papers
Pointed integral coalgebras and R-local homotopy theory
Manfred Stelzer
We show that, for a principal ideal domain R, the homotopy category of Bousfield R-local spaces injects fully faithful into a homotopy category of simplicial pointed flat coalgebra…
The homotopy automorphisms of a marked n-stage
Manfred Stelzer
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 coa…
The cube axiom and resolutions in homotopy theory
Manfred Stelzer
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…
The realization space of an unstable coalgebra
Georg Biedermann, Georgios Raptis, Manfred Stelzer
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 c…
Rectification of Weak Product Algebras over an Operad in Cat and Top and Applications
Zbigniew Fiedorowicz, Manfred Stelzer, Rainer M. Vogt
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…
A model categorical approach to group completion of E_n-algebras
Manfred Stelzer
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 simplici…
The Arone-Goodwillie spectral sequence for and topological realization at odd primes
Sebastian Büscher, Fabian Hebestreit, Oliver Röndigs +1
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…
Homotopy Colimits of Algebras Over Cat-Operads and Iterated Loop Spaces
Zbigniew Fiedorowicz, Manfred Stelzer, Rainer M. Vogt
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. W…