IOTA-DENSITY CONTINUOUS-FUNCTIONS

Citation
K. Ciesielski et al., IOTA-DENSITY CONTINUOUS-FUNCTIONS, Memoirs of the American Mathematical Society, 107(515), 1994, pp. 180000009
Citations number
69
Categorie Soggetti
Mathematics, General",Mathematics
ISSN journal
00659266
Volume
107
Issue
515
Year of publication
1994
Database
ISI
SICI code
0065-9266(1994)107:515<180000009:IC>2.0.ZU;2-1
Abstract
The I-density topology is a generalization of the ordinary density top ology to the setting of category instead of measure. This work involve s functions which are continuous when combinations of the I-density, d eep-I-density, density and ordinary topology are used on the domain an d range. In the process of examining these functions, the I-density an d deep-I-density topologies are deeply explored and the properties of these function classes as semigroups are considered.