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Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.

5 votes
1 answer
2k views

How come nowhere dense subsets implies discrete?

Hi, I am reading an article and have encountered a remark in a proof which is not clear to me. Maybe someone can help? The proposition is: Let X be a topological space without isolated points having …
tali11's user avatar
  • 89
3 votes
3 answers
917 views

The difference between a sequential space and a space with countable tightness

Hi, I have recently encountered these two definitions of a sequential space and a space of countable tightness. And I seem to have difficulty understanding what is the difference between these two def …
tali11's user avatar
  • 89