Every Lindel\"of scattered subspace of a $\Sigma$-product of real lines is $\sigma$-compact

Speaker(s)

Mikołaj Krupski

Affiliation

UW

Language of the talk

English

Date

Jan. 22, 2025, 4:15 p.m.

Room

room 5050

Title in Polish

Every Lindel\"of scattered subspace of a $\Sigma$-product of real lines is $\sigma$-compact

Seminar

Topology and Set Theory Seminar

---

We prove that every Lindel\"of scattered subspace of a $\Sigma$-product of first-countable spaces is $\sigma$-compact. In particular, we obtain
the result stated in the title. This answers some questions of Tkachuk from [Houston J. Math. 48 (2022), no. 1, 171--181].
Joint work with Antonio Aviles.

---