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Mathematics > Logic

arXiv:1803.06181 (math)
[Submitted on 16 Mar 2018 (v1), last revised 6 Sep 2018 (this version, v3)]

Title:Products of Lindelöf spaces with points $G_δ$

Authors:Toshimichi Usuba
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Abstract:We show that if CH holds and either (i) there exists an $\omega_1$-Kurepa tree, or (ii) $\square(\omega_2)$ holds, then there are regular $T_1$ Lindelöf spaces $X_0$ and $X_1$ with points $G_\delta$ such that $e(X_0 \times X_1)>2^\omega$.
Subjects: Logic (math.LO); General Topology (math.GN)
Cite as: arXiv:1803.06181 [math.LO]
  (or arXiv:1803.06181v3 [math.LO] for this version)
  https://doi.org/10.48550/arXiv.1803.06181

Submission history

From: Toshimichi Usuba [view email]
[v1] Fri, 16 Mar 2018 11:54:53 UTC (63 KB)
[v2] Thu, 22 Mar 2018 08:01:11 UTC (63 KB)
[v3] Thu, 6 Sep 2018 22:18:28 UTC (10 KB)
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