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$\omega$-cover; $\lambda$-cover; $\text{\it Split}\kern 0.8pt(\Omega, \Omega)$; $\text{\it Split}\kern 0.8pt(\Lambda, \Lambda)$; ultrafilter
The authors give a ZFC example for a space with $\text{\it Split}\kern 0.8pt (\Omega , \Omega )$ but not $\text{\it Split}\kern 0.8pt (\Lambda , \Lambda )$.
[1] Just W., Miller A., Scheepers M., Szeptycki P.: The combinatorics of open covers. Topology and its Applications, to appear. Zbl 0870.03021
[2] Moschovakis Y.N.: Descriptive Set Theory. North Holland, 1980. MR 0561709
[3] Bartoszyński T., Judah H.: Set Theory. A.K. Peters, 1995. MR 1350295
[4] Blass A.: A model without ultrafilters. Bull. Acad. Polon. Sci. 25 (1977), 4 329-331. MR 0476510 | Zbl 0365.02054
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