scholarly journals Spaces of weakly continuous functions

1982 ◽  
Vol 102 (2) ◽  
pp. 285-291 ◽  
Author(s):  
Juan Ferrera
Author(s):  
M. Mrševic ◽  
I. L. Reilly

Recently a new class of functions between topological spaces, called weaklyθ-continuous functions, has been introduced and studied. In this paper we show how an appropriate change of topology on the domain of a weaklyθ-continuous function reduces it to a weakly continuous function. This paper examines some of the consequences of this result.


1998 ◽  
Vol 31 (2) ◽  
Author(s):  
Saeid Jafari ◽  
Takashi Noiri

1983 ◽  
Vol 15 (3) ◽  
pp. 260-264 ◽  
Author(s):  
J. Ferrera ◽  
J. Gomez Gil ◽  
J. G. Llavona

1992 ◽  
Vol 15 (4) ◽  
pp. 415-425 ◽  
Author(s):  
J. Arias De Reyna ◽  
J. Diestel ◽  
V. Lomonosov ◽  
L. Rodriguez-Piazza

1988 ◽  
Vol 11 (4) ◽  
pp. 713-719
Author(s):  
David A. Rose

In a recent paper by T. Noiri [1], a functionf:X→Yis said to be weaklyα-continuous iff:Xα→Yis weakly continuous whereXαis the spaceXendowed with theα-topolooy. Smilarly, we define subweakα-continuity and almostα-continuity and show that almostα-continuity coincides with the almost continuity of T. Husain [2] and H. Blumberg [3]. This implies a functional tridecomposition of continuity using almost continuity and subweakα-continuity.


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