$\left(\genfrac{}{}{0ex}{}{\Omega }{T}\right)\ne \left(\genfrac{}{}{0ex}{}{\Omega }{\Gamma }\right)$

Abstract

We show that the selection principles $\left(\genfrac{}{}{0ex}{}{\Omega }{T}\right)$ and $\left(\genfrac{}{}{0ex}{}{\Omega }{\Gamma }\right)$ are not equal constructing a topological space $(X,\tau )$ that satisfies $\left(\genfrac{}{}{0ex}{}{\Omega }{T}\right)$, but not $\left(\genfrac{}{}{0ex}{}{\Omega }{\Gamma }\right)$. This answers a question from arXiv:math/0301011 .

3 pages