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Results tagged with gn.general-topology
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user 1631
Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.
2
votes
Do the empty set AND the entire set really need to be open?
To address the question in a somewhat less-categorical way, I would point out that you can in fact do all of topology without using the expression "open set", by instead refering to the filter of neig …
- 1,987
2
votes
Boundary of planar region
Videtur I can't post comments of my own? This is not a complete answer.
@buzzard, I'd say yours probably isn't a facetious comment, in that I can imagine a union of two Jordan curves --- that is, an …
- 1,987
0
votes
Examples where it's useful to know that a mathematical object belongs to some family of objects
I have two related sorts of example to suggest, probably exhibiting my categorical bias vs. the analytic/geometric-topology weight of the preceding examples.
Galois-theoretic
Let $P\in K[x]$ be an i …