Using a technique that Tverberg and Vrecica [TV93] discovered to give a surprisingly simple proof of Tverberg's theorem, we show the following extension of the centerpoint th...
Abdul Basit, Nabil H. Mustafa, Saurabh Ray, Sarfra...
Abstract. Recent analysis of sequential algorithms resulted in their axiomatization and in a representation theorem stating that, for any sealgorithm, there is an abstract state ma...
The question of nonemptiness of the intersection of a nested sequence of closed sets is fundamental in a number of important optimization topics, including the existence of optima...
In this paper we investigate how certain results related to the HananiTutte theorem can be extended from the plane to surfaces. We give a simple topological proof that the weak Ha...
Michael J. Pelsmajer, Marcus Schaefer, Daniel Stef...
Proofs of equalities may be built from assumptions using proof rules for reflexivity, symmetry, and transitivity. Reflexivity is an axiom proving x=x for any x; symmetry is a 1-p...