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- W2103201043 abstract "Weakly n-dimensional spaces were first distinguished by Karl Menger. In this note we shall discuss three topics concerning this class of spaces: universal spaces, products, and the sum theorem. We prove that there is a universal space for the class of all weakly n-dimensional spaces, present a simpler proof of Tomaszewski’s result about the dimension of a product of weakly n-dimensional spaces, and show that there is an n-dimensional space which admits a pairwise disjoint countable closed cover by weakly n-dimensional subspaces but is not weakly n-dimensional itself." @default.
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- W2103201043 date "2001-04-19" @default.
- W2103201043 modified "2023-09-26" @default.
- W2103201043 title "Note on Weakly n -Dimensional Spaces" @default.
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- W2103201043 doi "https://doi.org/10.1007/s006050170056" @default.
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