We examine spaces of connected tri-/univalent graphs subject to local relations which are motivated by the theory of Vassiliev invariants. It is shown that the behaviour of ladder-like subgraphs is strongly related to the parity of the number of rungs: there are similar relations for ladders of even and odd lengths, respectively. Moreover, we prove that under certain conditions an even number o...

We show that the univalent local actions of the complexification of a compact connected Lie group K on a weakly pseudoconvex space where K is acting holomorphically have a universal orbit convex weakly pseudoconvex complexification. We also show that if K is a torus, then every holomorphic action of K on a weakly pseudoconvex space extends to a univalent local action of KC.

We show by elementary means that every Kan fibration in simplicial sets can be embedded in a univalent Kan fibration. Mathematics Subject Classification 55R15 · 55R35 · 55U10 · 18C50

The main purpose of this paper is to obtain an upper bound for the second Hankel determinant functions belonging a subclass bi-univalent in open unit disk complex plane. Furthermore, presented results work improve or generalize recent works other authors.

Two cases are described of hepatic fibropolycystic disease (Brunt, 1973). Both had neonatal pyloric stenosis, one craniostenosis and the other acromegaly and neuro-fibromatosis.