Abstract
Császár introduced the notions of ascending operation, ascending hull of operation and ascending generalized neighborhood system in [2]. In this paper, we introduce the notions of interior and closure operators and (ϕ,ϕ′)-continuity on ascending generalized neighborhood systems. We characterize some properties of such notions in terms of convergence of p-stacks.
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Á. Császár, Generalized topology, generalized continuity, Acta Math. Hungar., 96 (2002), 351–357.
Á. Császár, Generalized neighborhood systems, Acta Math. Hungar., 121 (2008), 395–400.
D. C. Kent and W. K. Min, Neighborhood spaces, Int. J. Math. Math. Sci., 32 (2002), 387–399.
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Min, W.K. On ascending generalized neighborhood systems. Acta Math Hung 127, 391–396 (2010). https://doi.org/10.1007/s10474-010-9147-1
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DOI: https://doi.org/10.1007/s10474-010-9147-1