Not signed in (Sign In)

Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

  • Sign in using OpenID

Discussion Tag Cloud

Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

Welcome to nForum
If you want to take part in these discussions either sign in now (if you have an account), apply for one now (if you don't).

nLab > Latest Changes: sequentially compact metric spaces are equivalently compact metric spaces

Bottom of Page

1 to 5 of 5

  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeApr 12th 2017

  2. What do you mean by “being compact is strictly stronger than the condition of beiing sequentially compact”? – For a general topological space both properties are independent, see Wikipedia for an example of a compact space that is not sequentially compact.

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeApr 13th 2017

    Thanks for catching this. Fixed.

  4. Added comment on generalization to first-countable spaces of one implication.

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeApr 14th 2017

    Thanks. But let’s make that more explicit: countably compact metric spaces are equivalently compact metric spaces

1 to 5 of 5

  1.