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

C. Bessaga; A. Pelczynski

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

C. Bessaga ; A. Pelczynski

Mathematica Scandinavica, Tome 27 (1970), pp. 132-140.

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@article{MS2_1970__27_166151,
     author = {C. Bessaga and A. Pelczynski},
     title = {The {Space} of {Lebesgue} {Measurable} {Functions} on the {Interval} [0,1] is {Homeomorphic} to the {Countable} {Infinite} {Product} of {Lines.}},
     journal = {Mathematica Scandinavica},
     pages = {132--140},
     publisher = {mathdoc},
     volume = {27},
     year = {1970},
     zbl = {0215.19804},
     url = {http://geodesic.mathdoc.fr/item/MS2_1970__27_166151/}
}

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C. Bessaga; A. Pelczynski. The Space of Lebesgue Measurable Functions on the Interval [0,1] is Homeomorphic to the Countable Infinite Product of Lines.. Mathematica Scandinavica, Tome 27 (1970), pp. 132-140. http://geodesic.mathdoc.fr/item/MS2_1970__27_166151/