Article
Full entry |
PDF
(0.2 MB)
Feedback
PDF
(0.2 MB)
Feedback
Keywords:
upper semicontinuous mappings; products; Lindelöf $\Sigma$-spaces
upper semicontinuous mappings; products; Lindelöf $\Sigma$-spaces
Summary:
We present several results related to $L\Sigma(\kappa)$-spaces where $\kappa$ is a finite cardinal or $\omega$; we consider products and some constructions that lead from spaces of these classes to other spaces of similar classes.
References:
[Eng1] Engelking R.: On the double circumference of Alexandroff. Bull. Acad. Pol. Sci. Ser. Astron. Math. Phys. 16 8 (1968), 629-634. MR 0239564 | Zbl 0167.21001
[Eng2] Engelking R.: General Topology. Sigma Series in Pure Mathematics 6 Helderman, Lemgo (1989). MR 1039321 | Zbl 0684.54001
[KOS] Kubiš W., Okunev O., Szeptycki P.J.: On some classes of Lindelöf $\Sigma$-spaces. Topology Appl. 153 14 (2006), 2574-2590. DOI 10.1016/j.topol.2005.09.009 | MR 2243735 | Zbl 1102.54028
[Nag] Nagami K.: $\Sigma$-spaces. Fund. Math. 65 2 169-192 (1969). MR 0257963 | Zbl 0181.50701
[Oku] Okunev O.G.: $L\Sigma(\kappa)$-spaces. 47-50 Open Problems in Topology II E. Pearl Elsevier (2007).
[Todor] Todorčević S.: Partition Problems in Topology. American Mathematical Society, Providence (1989). MR 0980949
Search
Partner of
