6 papers
Small semi-Eberlein compacta and inverse limits
Claudia Correa, Tommaso Russo, Jacopo Somaglia
We study properties of semi-Eberlein compacta related to inverse limits. We concentrate our investigation on an interesting subclass of small semi-Eberlein compacta whose elements…
Star-finite coverings of Banach spaces
Carlo Alberto De Bernardi, Jacopo Somaglia, Libor Vesely
We study star-finite coverings of infinite-dimensional normed spaces. A family of sets is called star-finite if each of its members intersects only finitely many other members of t…
Overcomplete sets in non-separable Banach spaces
Tommaso Russo, Jacopo Somaglia
We introduce and study the notion of overcomplete set in a Banach space, that subsumes and extends the classical concept of overcomplete sequence in a (separable) Banach space. We…
On bisequentiality and spaces of strictly decreasing functions on trees
Claudio Agostini, Jacopo Somaglia
We present a characterization of spaces of strictly decreasing functions on trees in terms of bisequentiality. This characterization answers Questions 6.1 and 6.2 of "A filter on a…
On compact trees with the coarse wedge topology
Jacopo Somaglia
In the present paper we investigate the class of compact trees, endowed with the coarse wedge topology, in the area of non-separable Banach spaces. We describe Valdivia compact tre…
On the class of continuous images of non-commutative Valdivia compacta
Jacopo Somaglia
We investigate the class of continuous images of non-commutative Valdivia compact spaces, in particular its subclass of weakly non-commutative Cor- son countably compact spaces. A…