On the lp-equivalence of ultrafilters

• Autorzy: Baars Jan

Identyfikatory

DOI

10.4064/ba211001-15-11

• Języki publikacji: EN

Abstrakty

EN

We show for n,m≥1 and {u1,…,un,v1,…,vm}⊆ω∗ that Cp(⨁ni=1ωui) and Cp(⨁mi=1ωvi) are linearly homeomorphic if and only if n=m and there is a permutation π:{1,…,n}→{1,…,n} such that for every i≤n, ωui and ωvπ(i) are homeomorphic. This generalizes a result by Gul'ko. We will also show that for n,m≥1, {u1,…,un}⊆ω∗ and countable spaces Y1,…,Yn with only one non-isolated point, if Cp(⨁ni=1ωui) and Cp(⨁mi=1Yi) are linearly homeomorphic, then m≤n. Moreover, m=n if and only if each Yi is homeomorphic to ωvi for some vi∈ω∗.https://www.msn.com/pl-pl/feed

Słowa kluczowe

EN

function spaces; p-equivalence; ultrafilters

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2022
• Tom: Vol. 70, no. 1
• Strony: 63--82
• Opis fizyczny: Bibliogr. 20 poz.

Twórcy

autor

Baars Jan

• 971 Bukit Timah Road, 06-22 Floridian, 589647 Singapore

• https://orcid.org/0000-0002-9918-3518

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).