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Results tagged with gn.general-topology
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user 31524
Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.
22
votes
5
answers
7k
views
Defining a topology in the Power Set
I have the following question:
Given a topological space $T$ is possible in general to give a topology to $2^T$ (the power set of $T$) such that this topology in $2^T$ is related to $T$.
If the answ …
- 335
0
votes
3
answers
384
views
Existence of a Sub-Category of the Category of Topological Spaces
My question start with the following observations:
If you have a finite number of topological spaces $X_1, \dots , X_n$ you can define a space that is the disjoint union of its $\sqcup_{i=1}^n X_n=Y …
- 335