Abstract. This research is motivated by the program of Reverse Mathematics. We investigate basic part of complex analysis within some weak subsystems of second order arithmetic, in...
We prove an extrapolation theorem for the nonlinear m-term approximation with respect to a system of functions satisfying very mild conditions. This theorem allows us to prove end...
Completion procedures, originated from the seminal work of Knuth and Bendix, are wellknown as procedures for generating confluent rewrite systems, i.e. decision procedures for al ...
We derive a Mal'cev condition for congruence meet-semidistributivity and then use it to prove two theorems. Theorem A: if a variety in a finite language is congruence meet-sem...
We prove Helly-type theorems for line transversals to disjoint unit balls in Rd . In particular, we show that a family of n 2d disjoint unit balls in Rd has a line transversal if,...
Otfried Cheong, Xavier Goaoc, Andreas Holmsen, Syl...