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Results tagged with uniform-spaces
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user 61536
4
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Does each $\omega$-narrow topological group have countable discrete cellularity?
Mikhail Tkachenko informed me that the problem has a counterexample, constructed in Example 8.2.1 of his book with Arhangelskii.
This example looks as follows. Consider the uncountable power $C_2^{\ …
- 42k
3
votes
Quotient of compact metrizable space in Hausdorff space
For the Cantor starcase function $f:C\to[0,1]$ from the standard ternary Cantor set $C$ onto the interval $[0,1]$ and for the standard Euclidean metric $d$ on $C$ the quotient pseudometric $d_\sim$ is …
- 42k
19
votes
A good place to read about uniform spaces
For a general audience it can be interesting to know that uniform spaces are just one of two opposite generalizations of metric spaces. Measuring distances with the help of metric, we can be intereste …
- 42k