Abstract
We introduce the concept of relatively almost Lindelöf subsets as a generalization of almost Lindelöf subspaces. We study various properties of relatively almost Lindelöf subsets and investigate the relationship between relatively almost Lindelöf subsets and almost Lindelöf subspaces. A special interest is given to spaces X in which almost Lindelöf subsets relative to X are closed.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
R. Engelking, General Topology, Heldermann (Berlin, 1989).
A. S. Mashhour, M. E. Abd El-Monsef, and S. N. El Deeb, On precontinuous and weak precontinuous mappings, Proc. Math. Phys. Soc. Egypt, 51 (1982).
T. K. Mukherji and M. Sarkar, On a class of almost discrete spaces, Mat. Vesnik, 3(16) (31) (1979), 459–473.
C. M. Pareek, Hereditarily Lindelöf and hereditarily almost Lindelöf spaces, Math. Japonica, 30 (1985), 635–639.
A. Wilansky, Topics in Functional Analysis, Springer (Berlin, 1967).
R. G. Woods, Characterizations of some C *-embedded subspaces of βN, Pacific J. Math., 65 (1976), 573–579.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Sarsak, M.S. On relatively almost Lindelöf subsets. Acta Mathematica Hungarica 97, 109–114 (2002). https://doi.org/10.1023/A:1020811012865
Issue Date:
DOI: https://doi.org/10.1023/A:1020811012865