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(1)
Product Space
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Quasicontinuous functions on product spaces
Quasicontinuous functions on product spaces,10.1215/S0012709461028046,Duke Mathematical Journal,N. F. G. Martin
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Quasicontinuous functions on product spaces
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Citations: 10
)
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N. F. G. Martin
Journal:
Duke Mathematical Journal  DUKE MATH J
, vol. 28, no. 1961, pp. 3943, 1961
DOI:
10.1215/S0012709461028046
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Citation Context
(5)
...Quasicontinuity of realvalued separately continuous functions of two variables has been studied very frequently in connection with the existence of points of joint continuity for such functions (see Martin [
29
], Mibu [30], Piotrowski [36])...
Dušan Holý
,
et al.
Quasicontinuous functions, minimal usco maps and topology of pointwise...
...In addition, we improve the result on the joint quasicontinuity of separately quasicontinuous mappings obtained by Martin in [
11
]...
V. K. Maslyuchenko
,
et al.
Joint Continuity and Quasicontinuity of Horizontally Quasicontinuous M...
...(Martin [
8
], compare Kempisty [l]) if for every x e X and for every neighborhood U of...
J. P. Lee
,
et al.
Another note on Kempisty's generalized continuity
...Kempisty's ideas have been developed, subsequently by N. F. G. Martin [
4
], T. Neubrunn [5], and the secondnamed author [8]~...
...The considered class of functions is logically intermediate between continuous and quasicontinuous [
4
] functions...
...Let us recall that a function ] :X~ Y is said to be quasicontinuous ([
4
], [2]) if for every xEX and for every neighborhood U of x and for every neighborhood V of ] (x), we have: U N Int ] 1 (V) ~ O...
...Following N. F. G. Martin ([
4
]), [2]) we say that a function /:XXY, Z (X, Y and Z are arbitrary spaces) is quasicontinuous with respect to x if for every (x, y) in X Y, for every neighborhood U of (x,y) and for every...
J. P. Lee
,
et al.
On kempisty's generalized continuity
...In this paper we will restrict ourselves to functions/: Io_~>R eyen though some theoiJems below" are valid in more general spaces in view of [3J (see also [
7
])...
C. J. Neugebauer
.
Blumberg sets and quasicontinuity
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Citations
(10)
Lower quasicontinuity, joint continuity and related concepts
Ahmed Bouziad
,
JeanPierre Troallic
Journal:
Topology and Its Applications  TOPOL APPL
, vol. 157, no. 18, pp. 28892894, 2010
Quasicontinuous functions, minimal usco maps and topology of pointwise convergence
Dušan Holý
,
Ladislav Matejíčka
Journal:
Mathematica Slovaca  MATH SLOVACA
, vol. 60, no. 4, pp. 507520, 2010
Norm continuity of weakly continuous mappings into Banach spaces
(
Citations: 4
)
P. S. Kenderov
,
I. S. Kortezov
,
W. B. Moors
Journal:
Topology and Its Applications  TOPOL APPL
, vol. 153, no. 14, pp. 27452759, 2006
Continuity points of quasicontinuous mappings ☆ ☆ Research supported by a Marsden fund grant, VUW 703, administered by the Royal Society of New Zealand. The first two authors are partially supported by Grant MM701/97 of the National Fund for Scientific Research of the Bulgarian Ministry of Education, Science and Technology
(
Citations: 2
)
P. S. Kenderov
,
I. S. Kortezov
,
W. B. Moors
Journal:
Topology and Its Applications  TOPOL APPL
, vol. 109, no. 3, pp. 321346, 2001
Joint Continuity and Quasicontinuity of Horizontally Quasicontinuous Mappings
(
Citations: 2
)
V. K. Maslyuchenko
,
V. V. Nesterenko
Journal:
Ukrainian Mathematical Journal  UKR MATH J
, vol. 52, no. 12, pp. 19521955, 2000