The Space of Lebesgue Measurable Functions on the Interval $[0,1]$ is Homeomorphic to the Countable Infinite Product of Lines.

DOI10.7146/math.scand.a-10992zbMath0215.19804OpenAlexW2530517113MaRDI QIDQ5618000

Aleksander Pełczyński, Czeslaw Bessaga

Publication date: 1970

Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/166151

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30)

Related Items (3)

The space of Whitney levels ⋮ Using Flows to Construct Hilbert Space Factors of Function Spaces ⋮ Extreme amenability of abelian \(L_0\) groups

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