Projective modules and the homotopy classification of -complexes
J Nicholson - arXiv preprint arXiv:2004.04252, 2020 - arxiv.org
A $(G, n) $-complex is an $ n $-dimensional CW-complex with fundamental group $ G $ and
whose universal cover is $(n-1) $-connected. If $ G $ has periodic cohomology then, for …
whose universal cover is $(n-1) $-connected. If $ G $ has periodic cohomology then, for …
Cancellation for -complexes and the Swan finiteness obstruction
J Nicholson - arXiv preprint arXiv:2005.01664, 2020 - arxiv.org
In previous work, we related homotopy types of $(G, n) $-complexes when $ G $ has
periodic cohomology to projective $\mathbb {Z} G $ modules representing the Swan …
periodic cohomology to projective $\mathbb {Z} G $ modules representing the Swan …
Equivariant CW-complexes and the orbit category
arXiv:0807.3357v3 [math.AT] 9 Feb 2010 Page 1 arXiv:0807.3357v3 [math.AT] 9 Feb 2010
EQUIVARIANT CW-COMPLEXES AND THE ORBIT CATEGORY IAN HAMBLETON, SEMRA …
EQUIVARIANT CW-COMPLEXES AND THE ORBIT CATEGORY IAN HAMBLETON, SEMRA …
Invertible objects in Franke's comodule categories
D Heard - arXiv preprint arXiv:2205.07212, 2022 - arxiv.org
We study the Picard group of Franke's category of quasi-periodic $ E_0E $-comodules for $
E $ a 2-periodic Landweber exact cohomology theory of height $ n $ such as Morava $ E …
E $ a 2-periodic Landweber exact cohomology theory of height $ n $ such as Morava $ E …
Realizability of the group of rational self-homotopy equivalences
M Benkhalifa - arXiv preprint arXiv:1010.1441, 2010 - arxiv.org
For a 1-connected CW-complex $ X $, let $\mathcal {E}(X) $ denote the group of homotopy
classes of self-homotopy equivalences of $ X $. The aim of this paper is to prove that, for …
classes of self-homotopy equivalences of $ X $. The aim of this paper is to prove that, for …
On the rationalization of the circle
C Casacuberta - Proceedings of the American Mathematical Society, 1993 - ams.org
We give an example showing that, for a nilpotent group $ G $ and a set of primes $ P $, the $
P $-localization homomorphism $ l: G\to {G_P} $ need not induce an isomorphism in …
P $-localization homomorphism $ l: G\to {G_P} $ need not induce an isomorphism in …
[PDF][PDF] A Whitehead theorem for periodic homotopy groups
arXiv:1811.04030v2 [math.AT] 17 Jul 2019 Page 1 arXiv:1811.04030v2 [math.AT] 17 Jul 2019 A
WHITEHEAD THEOREM FOR PERIODIC HOMOTOPY GROUPS TOBIAS BARTHEL, GIJS …
WHITEHEAD THEOREM FOR PERIODIC HOMOTOPY GROUPS TOBIAS BARTHEL, GIJS …
Continuous functors as a model for the equivariant stable homotopy category
A Blumberg - Algebraic & Geometric Topology, 2006 - msp.org
It is a classical observation that a based continuous functor X from the category of finite CW–
complexes to the category of based spaces that takes homotopy pushouts to homotopy …
complexes to the category of based spaces that takes homotopy pushouts to homotopy …
Local cohomology on a subexceptional series of representations
AC Lőrincz, J Weyman - arXiv preprint arXiv:1910.13820, 2019 - arxiv.org
We consider a series of four subexceptional representations coming from the third line of the
Freudenthal-Tits magic square; using Bourbaki notation, these are fundamental …
Freudenthal-Tits magic square; using Bourbaki notation, these are fundamental …