This book presents two natural generalizations of continuous map**s, namely usco and
quasicontinuous map**s. The first class considers set-valued map**s, the second class …

Banach spaces are objects with a linear structure so linear maps have been considered the
natural tool for transferring good norms from one Banach space to another. It is well known …

Abstract top In this survey article we shall summarise some of the recent progress that has
occurred in the study of topological games as well as their applications to abstract analysis …

It is known that the fragmentability of a topological space X by a metric whose topology
contains the topology of X is equivalent to the existence of a winning strategy for one of the …

We discuss topological versions of the closed graph theorem, where continuity is inferred
from near continuity in tandem with suitable conditions on source or target spaces. We seek …

arxiv:math/0610420v2 [math.FA] 14 Oct 2006 Page 1 arxiv:math/0610420v2 [math.FA] 14 Oct
2006 LOCALLY UNIFORMLY CONVEX NORMS IN BANACH SPACES AND THEIR DUALS …

We characterize the existence of a dense completely metrizable subset in a regular
topological space X via the existence of residually defined continuous single-valued …

Norm continuity of weakly continuous map**s into Banach spaces Page 1 Topology and its
Applications 153 (2006) 2745–2759 www.elsevier.com/locate/topol Norm continuity of weakly …

Let f be a bounded from below lower semicontinuous function defined in a completely
regular topological space X. We show that there exists a continuous and bounded function …

INFINITE GAMES, BANACH SPACE GEOMETRY AND THE EIKONAL EQUATION Page 1
Proc. London Math. Soc. (3) 95 (2007) 49–68 Cо2007 London Mathematical Society doi:10.1112/plms/pdm005 …