The boundedness principle characterizes second category subsets
1977 ◽
Vol 16
(2)
◽
pp. 257-265
Keyword(s):
Converses are proved for the Osgood (the Principle of Uniform Boundedness), Dini, and other well known. theorems. The notion of a continuous step function on a topological space is defined and a class of spaces identified for which each lower semicontinuous function is the pointwise limit of a monotonically increasing sequence of step functions.
1993 ◽
Vol 36
(1)
◽
pp. 116-122
◽
1999 ◽
Vol 60
(1)
◽
pp. 109-118
◽
1994 ◽
Vol 50
(3)
◽
pp. 481-499
1991 ◽
Vol 34
(3)
◽
pp. 412-416
◽
1999 ◽
Vol 60
(1)
◽
pp. 163-174
◽
1996 ◽
Vol 126
(3)
◽
pp. 665-675
◽