Concept

Finite topological space

Related publications (20)

Graph Chatbot

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.

Normal generation of locally compact groups

Nicolas Monod, Amichai Netanel Eisenmann

It is a well-known open problem since the 1970s whether a finitely generated perfect group can be normally generated by a single element or not. We prove that the topological version of this problem has an affirmative answer as long as we exclude infinite ...

Oxford Univ Press2013

Large simplices determined by finite point sets

János Pach, Filip Moric

Given a set P of n points in ℝd, let d1 > d2 >...denote all distinct inter-point distances generated by point pairs in P. It was shown by Schur, Martini, Perles, and Kupitz that there is at most oned-dimensional regular simplex of edge length d1 whos ...

Springer-Verlag2013

On Polygons Excluding Point Sets

Radoslav Fulek, Balázs Keszegh, Filip Moric

By a polygonization of a finite point set S in the plane we understand a simple polygon having S as the set of its vertices. Let B and R be sets of blue and red points, respectively, in the plane such that is in general position, and the convex hull of B c ...

Springer Japan2013

Catégories simpliciales enrichies et K-théorie de Waldhausen

Ilias Amrani

This thesis, which presents a new approach to the algebraic K-theory, is divided into two parts. The first one is devoted to the category of small simplicial categories. First, we construct a new model structure on sCat = [Δop,Cat] which is called the diag ...

EPFL2010

The scale axis picture show

Mark Pauly

We demonstrate how the scale axis transform can be used to compute a parameterized family of shape skeletons. The skeletons gradually represent only the most important features of a shape, in a scale-adaptive manner. Here a shape O is any bounded open subs ...

2009

Points surrounding the origin

János Pach, Andreas Fukami Holmsen

Suppose d > 2, n > d+1, and we have a set P of n points in d-dimensional Euclidean space. Then P contains a subset Q of d points such that for any p ∈ P, the convex hull of Q∪{p} does not contain the origin in its interior. We also show that for non-emp ...

2008

A semi-implicit approach for fluid-structure interaction based on an algebraic fractional step method

Alfio Quarteroni, Annalisa Quaini

We address the numerical simulation of fluid-structure interaction problems characterized by a strong added-mass effect. We propose a semi-implicit coupling scheme based on an algebraic fractional-step method. The basic idea of a semi-implicit scheme consi ...

2007

A domain decomposition method for advection-diffusion processes with application to blood solutes

Alfio Quarteroni, Paolo Zunino

We consider a heterogeneous model for the dynamics of a blood solute both in the vascular lumen and inside the arterial wall. In the lumen, we consider an advection-diffusion equation, where the convective field is provided by the velocity of blood, which ...

2002

On randomized stopping points and perfect graphs

Dominique de Werra, Robert Dalang

Randomized stopping points form a convex set associated with the information structure that arises in the context of the optimal stopping problem for two-parameter processes. We study combinatorial properties of this structure when the underlying space is ...

Elsevier1988

Cloning and molecular characterization of the ompA gene from Salmonella typhimurium

Stewart Cole

The ompA gene from Salmonella typhimurium, encoding a major heat-modifiable protein of the outer membrane, has been cloned and extensively characterized. When expressed in Escherichia coli the gene directs the synthesis of an OmpA protein which is function ...

1983