Linear Maps do not Preserve Countable-Dimensionality
DOI10.2307/2045541zbMath0585.46018OpenAlexW4247214786MaRDI QIDQ3711020
Jerzy Mogilski, Mladen Bestvina
Publication date: 1985
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2045541
Hamel basisembeddings onto linearly independent setslinear maps do not preserve countable-dimensionality
Homotopy equivalences in algebraic topology (55P10) Sequence spaces (including Köthe sequence spaces) (46A45) Classical Banach spaces in the general theory (46B25) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Dimension theory in general topology (54F45) Embedding (54C25)
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