413 research outputs found
Greedy Sums and Dirichlet Series
We prove that the greedy sum of a direct product of two numeric arrays of
complex numbers is equal to the product of the greedy sums of the factors
provided that all the mentioned sums exist.Comment: 3 page
On periodic homeomorphisms of spheres
The purpose of this paper is to study how small orbits of periodic
homemorphisms of spheres can be.Comment: Published by Algebraic and Geometric Topology at
http://www.maths.warwick.ac.uk/agt/AGTVol1/agt-1-22.abs.htm
Hyperspace of convex compacta of nonmetrizable compact convex subspaces of locally convex spaces
Our main result states that the hyperspace of convex compact subsets of a
compact convex subset in a locally convex space is an absolute retract if
and only if is an absolute retract of weight . It is also
proved that the hyperspace of convex compact subsets of the Tychonov cube
is homeomorphic to . An analogous result is also
proved for the cone over . Our proofs are based on analysis of
maps of hyperspaces of compact convex subsets, in particular, selection
theorems for such maps are proved
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