p-Topologicalness—A Relative Topologicalness in ⊤-Convergence Spaces
In this paper, p-topologicalness (a relative topologicalness) in ⊤-convergence spaces are studied through two equivalent approaches. One approach generalizes the Fischer’s diagonal condition, the other approach extends the Gähler’s neighborhood condition. Then the relationships between p-topologicalness in ⊤-convergence spaces and p-topologicalness in stratified L-generalized convergence spaces are established. Furthermore, the lower and upper p-topological modifications in ⊤-convergence spaces are also defined and discussed. In particular, it is proved that the lower (resp., upper) p-topological modification behaves reasonably well relative to final (resp., initial) structures.
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2008 ◽
Vol 31
(1)
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pp. 11-25
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1988 ◽
Vol 62
(03)
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pp. 411-419
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1967 ◽
Vol 28
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pp. 207-244
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1967 ◽
Vol 28
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pp. 177-206
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1999 ◽
Vol 173
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pp. 249-254
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