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Results tagged with gn.general-topology
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user 83060
Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.
2
votes
1
answer
115
views
The separated uniform space associated with $(X,\mathfrak{U})$
If $\mathfrak{U}$ is a not necessarily separated uniform structure for some set $X$, then an equivalence relation $R$ can be introduced on $X$ by letting $x R y$ provided $(x,y)\in U$ for every $U\in …
- 153
3
votes
1
answer
124
views
Construct a specific base for Fine uniformities in the diagonal(Entourages) case
For every uniformizable space $X$ there is a finest uniformity on $X$ compatible with the topology of $X$ called the fine uniformity or universal uniformity.
To construct Fine uniformities, Let t …
- 153