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Mostrando ítems 1-10 de 11
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
One-relator groups and proper 3-realizability
(European Mathematical Society, 2009)
How different is the universal cover of a given finite 2-complex from a 3-manifold (from the proper homotopy viewpoint)? Regarding this question, we recall that a finitely presented group G is said to be properly 3-realizable ...
Artículo
B.-Y. Chen's inequality for submanifolds of generalized space forms
(Indian National Science Academy, 2007-06)
In this article, we investigate sharp inequalities involving δ-invariants for submanifolds in both generalized complex space forms and generalized Sasakian space forms, with arbitrary codimension.
Artículo
On the functoriality of cohomology of categories
(Elsevier, 2006-03)
In this paper we show that the Baues-Wirsching complex used to define cohomology of categories is a 2-functor from a certain 2-category of natural systems of abelian groups to the 2-category of chain complexes, chain ...
Artículo
Amalgamated products and properly 3-realizable groups
(Elsevier, 2007-01)
In this paper, we show that the class of all properly 3-realizable groups is closed under amalgamated free products (and HNN-extensions) over finite groups. We recall that G is said to be properly 3-realizable if there ...
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
On the connectivity of skeletons of pseudomanifolds with boundary
(Mathematical Institute, Academy of Sciences of the Czech Republic, 2002)
In this note we show that 1-skeletons and 2-skeletons of n-pseudomanifolds with full boundary are (n+ 1)-connected graphs and n-connected 2-complexes, respectively. This generalizes previous results due to Barnette and Woon.
Artículo
Critical elements of proper discrete Morse functions
(Editorial Board of Mathematica Pannonica, 2008)
The aim of this paper is to study the notion of critical element of a proper discrete Morse function defined on non-compact graphs and surfaces. It is an extension to the non-compact case of the concept of critical simplex ...