Now showing items 1-10 of 10
Critical elements of proper discrete Morse functions [Article]
(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 ...
On the connectivity of skeletons of pseudomanifolds with boundary [Article]
(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.
Amalgamated products and properly 3-realizable groups [Article]
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 ...
One-relator groups and proper 3-realizability [Article]
(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 ...
On the idempotency of some composite functors [Article]
We present examples of localization functors whose composition with certain cellularization functors is not idempotent, and vice versa.
Sasaki-Einstein and paraSasaki-Einstein metrics from (κ,μ)-structures [Article]
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 ...
On the topology of locally 2-connected Peano continua [Article]
(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 ...
B.-Y. Chen's inequality for submanifolds of generalized space forms [Article]
(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.
The cellular structure of the classifying spaces of finite groups [Article]
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.
Cellular covers of local groups [Article]
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.