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Results tagged with gn.general-topology
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user 57583
Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.
4
votes
If every nonseparable metric space contains a sequence of subsets with no convergent subsequ...
This answer is the proof given by Ashutosh, but formulated in terms of the splitting number.
Proposition
If the splitting number $s$ is $\aleph_{1}$, then every nonseparable metric space contains a s …
- 2,111
6
votes
2
answers
581
views
If every nonseparable metric space contains a sequence of subsets with no convergent subsequ...
If every nonseparable metric space contains a sequence of subsets with no convergent subsequence, does the Continuum Hypothesis hold?
The answer is negative, and in the interests of self-contained it …
- 2,111