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Artículo
On the idempotency of some composite functors
(Springer, 2012-01)
We present examples of localization functors whose composition with certain cellularization functors is not idempotent, and vice versa.
Artículo
On the topology of locally 2-connected Peano continua
(Rocky Mountain Mathematics Consortium, 2012)
Several recent results by Thomassen ([23 The locally connected compatc metric spaces embeddable in the plane, Combinatorica 24 (2004), 699-718, 24] Classification of locally 2-connected compact metric spaces, Combinatorica ...
Artículo
The cellular structure of the classifying spaces of finite groups
(Springer, 2011-08)
In this paper we obtain a description of the BZ/p-cellularization (in the sense of Dror-Farjoun) of the classifying spaces of all finite groups, for all primes p.
Artículo
Cellular covers of local groups
(Springer, 2018-12)
We prove that, in the category of groups, the composition of a cellularization and a localization functor need not be idempotent. This provides a negative answer to a question of Emmanuel Dror Farjoun.
Artículo
Sasaki-Einstein and paraSasaki-Einstein metrics from (κ,μ)-structures
(Elsevier, 2013-11)
We prove that every contact metric (κ, µ)-space admits a canonical η-Einstein Sasakian or η-Einstein paraSasakian metric. An explicit expression for the curvature tensor fields of those metrics is given and we find the ...