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).
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeMay 18th 2017
    • (edited May 18th 2017)

    I am working on the entry topological manifold.

    I gave it a subsection locally Euclidean spaces, which maybe eventually wants to be split off as an entry in its own right.

    Now I have added statement and proof that locally Euclidean spaces are T 1T_1, sober and locally compact (in the compact neighbourhood base sense): here.

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeMay 19th 2017

    I have added statement and proof that locally Euclidean Hausdorff spaces are sigma-compact precisely if they are paracompact with a countable set of connected components: here

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeMay 24th 2017

    I have expanded the statement and proof of the local properties of locally Euclidean spaces (this prop.) to contain 1) T 1T_1 2) sobriety 3) local connectivity, 4) local compactness.

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeMay 24th 2017

    Finally completed statement and proof of the equivalence of the three regularity conditions on locally Euclidean Hausdorff spaces here (the converse direction for second-countable had previously been missing)

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeMay 24th 2017
    • (edited May 24th 2017)

    added statement and proof that open subspace of topological/differentiable manifolds are themselves such (here)

    Used this to complete at general linear group the description as a Lie group (here)

  1. Added link to category TopMnf.

    diff, v23, current