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

Prelegent(ci)

Mikołaj Krupski

Afiliacja

UW

Język referatu

angielski

Termin

22 stycznia 2025 16:15

Pokój

p. 5050

Tytuł w języku polskim

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

Seminarium

Seminarium „Topologia i teoria mnogości”

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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.

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