Hypertopologies on function spaces |
| |
Authors: | Giuseppe Di Maio ?ubica Holá |
| |
Institution: | 1. Istituto di Matematica, Seconda Università di Napoli, Viale Beneduce, 8, 81100, Caserta, (Italia) 2. MFF UK Mlynska dolina, Comenius University, 84215, Bratislava, (Slovaskia)
|
| |
Abstract: | The aim of this paper is to continue Naimpally’s seminal papers 16], 17], 18], i.e. we investigate topological properties
of spaces which force the coincidence of convergences of functions associated with different hyperspace topologies. For example
a metric spaceX is locally compact iff the topological convergence and the convergence induced by the Fell topology coincide onC(X,IR). Moreover, the proximal topology on the space of functions, not necessarily continuous, is studied in great detail. |
| |
Keywords: | and phrases" target="_blank"> and phrases Function space topologies topological convergence Hausdorff metric topology Fell topology proximal topology function with closed graph quasicontinuous function locally compact spaces totally bounded space second countable space first countable space |
本文献已被 SpringerLink 等数据库收录! |
|