Results 1 to 10 of about 69 (27)

Formality and hard Lefschetz property of aspherical manifolds [PDF]

open access: yes, 2012
For a Lie group $G=\R^{n}\ltimes_{\phi}\R^{m}$ with the semi-simple action $\phi:\R^{n}\to {\rm Aut}(\R^{m})$, we show that if $\Gamma$ is a finite extension of a lattice of $G$ then $K(\Gamma, 1)$ is formal.
Kasuya, Hisashi
core   +3 more sources

New lower bounds for the topological complexity of aspherical spaces [PDF]

open access: yes, 2015
Date of Acceptance: 5/04/2015 15 pages, 4 figuresPeer ...
Grant, Mark   +2 more
core   +3 more sources

On Poincaré duality for pairs (G,W)

open access: yesOpen Mathematics, 2015
Let G be a group and W a G-set. In this work we prove a result that describes geometrically, for a Poincaré duality pair (G, W ), the set of representatives for the G-orbits in W and the family of isotropy subgroups.
Andrade Maria Gorete Carreira   +2 more
doaj   +1 more source

Homotopy colimits of nilpotent spaces [PDF]

open access: yes, 2014
We show that cellular approximations of nilpotent Postnikov stages are always nilpotent Postnikov stages, in particular classifying spaces of nilpotent groups are turned into classifying spaces of nilpotent groups.
Chacholski, Wojciech   +3 more
core   +2 more sources

Nullification functors and the homotopy type of the classifying space for proper bundles [PDF]

open access: yes, 2005
Let G be a discrete group for which the classifying space for proper G-actions is finite-dimensional. We find a space W such that for any such G, the classifying space PBG for proper G-bundles has the homotopy type of the W-nullification of BG.
Baum   +19 more
core   +5 more sources

Localization genus [PDF]

open access: yes, 2017
Which spaces look like an n-sphere through the eyes of the n-th Postnikov section functor and the n-connected cover functor? The answer is what we call the Postnikov genus of the n-sphere.
Møller, Jesper M., Scherer, Jérôme
core   +2 more sources

Towards a splitting of the $K(2)$-local string bordism spectrum

open access: yes, 2018
We show that $K(2)$-locally, the smash product of the string bordism spectrum and the spectrum $T_2$ splits into copies of Morava $E$-theories. Here, $T_2$ is related to the Thom spectrum of the canonical bundle over $\Omega SU(4)$.Comment: Revised ...
Laures, Gerd, Schuster, Björn
core   +1 more source

EMPIRICAL MODELS FOR PREDICTION COMPRESSION STRENGTH OF PAPERBOARD CARTON [PDF]

open access: yes, 2022
When designing packaging in the shape of a rectangular parallelepiped from various paperboard materials, it is important to determine their resistance to vertical compression force, which should be less than the critical compression force.
Gegeckienė, Laura   +4 more
core   +1 more source

Can one classify finite Postnikov pieces?

open access: yes, 2009
We compare the classical approach of constructing finite Postnikov systems by k-invariants and the global approach of Dwyer, Kan, and Smith. We concentrate on the case of 3-stage Postnikov pieces and provide examples where a classification is feasible ...
Moller, Jesper M., Scherer, Jerome
core   +3 more sources

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