• Journal of the Chungcheong Mathematical Society
• /
• v.27 no.1
• /
• pp.47-56
• /
• 2014

In this paper, we introduce and study the concepts of weak $C^f_k$-spaces for maps which are generalized concepts of $C^f_k$-spaces for maps, and introduce the dual concepts of weak $C^f_k$-spaces for maps and obtain some dual results.

• Journal of the Chungcheong Mathematical Society
• /
• v.26 no.1
• /
• pp.249-257
• /
• 2013

In this paper, we introduce and study the concepts of $WC^f_k$-spaces with respect to spaces which are generalized concepts of $C^f_k$-spaces for maps, and introduce the dual concepts of $WC^f_k$-spaces with respect to spaces and obtain some dual results.

• Journal of the Chungcheong Mathematical Society
• /
• v.27 no.4
• /
• pp.735-743
• /
• 2014

We obtain a splitting theorem which characterizes when a given space is a catesian product of an $H^f$-space, and also obtain a dual theorem for a co-$H^g$-space. Then we get Dula and Gottlieb's results as corollaries.