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- W4313420061 abstract "Motivated by the theorem of S. A. Morris stating that every topological space is homeomorphic to a subspace of a product of a finite (3-element) topological space, this paper proves that this result is no longer valid in case of affine topological spaces (inspired by the concept of affine set of Y. Diers), which include, e.g., many-valued topology. In particular, we present an affine analogue of the original 3-element space and show its relationship to an affine analogue of the well-known Sierpinski space, both of which are (in general) infinite. A simple message we want to convey here is that finite spaces play a (probably) less important role in affine topological setting (for example, in many-valued topology) than they do in the classical topology." @default.
- W4313420061 created "2023-01-06" @default.
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- W4313420061 date "2023-08-01" @default.
- W4313420061 modified "2023-10-16" @default.
- W4313420061 title "Are finite affine topological spaces worthy of study?" @default.
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- W4313420061 doi "https://doi.org/10.1016/j.fss.2022.12.013" @default.
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