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.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
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.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Min, W.K. On ascending generalized neighborhood systems. Acta Math Hung 127, 391–396 (2010). https://doi.org/10.1007/s10474-010-9147-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10474-010-9147-1