1 citations · 1 across the 5 of their papers we have counts for
11 papers
Topology of Frame Field Design for Hex Meshing
Piotr Beben
In the past decade frame fields have emerged as a promising approach for generating hexahedral meshes for CFD and CAE applications. One important problem asks for construction of a…
Homotopy groups of highly connected Poincare duality complexes
Piotr Beben, Stephen Theriault
Methods are developed to relate the action of a principal fibration to relative Whitehead products in order to determine the homotopy type of certain spaces. The methods are applie…
Fitting a Simplicial Complex using a Variation of k-means
Piotr Beben
We give a simple and effective two stage algorithm for approximating a point cloud by a simplicial complex . The first stage is an iterative fit…
-category of moment-angle manifolds and higher order Massey products
Piotr Beben, Jelena Grbić
Using the combinatorics of the underlying simplicial complex , we give various upper and lower bounds for the Lusternik-Schnirelmann (LS) category of moment-angle complexes $\zk…
-Neighbourly Moment-Angle Complexes and their Unstable Splittings
Piotr Beben, Jelena Grbić
Given an -neighbourly simplicial complex on vertex set , we show that the moment-angle complex is a --space if and only if satisfie…
Configuration Spaces and Polyhedral Products
Piotr Beben, Jelena Grbić
This paper aims to find the most general combinatorial conditions under which a moment-angle complex is a co--space, thus splitting unstably in terms of its full s…