Not signed in (Sign In)

Start a new discussion

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.
    • CommentAuthorDmitri Pavlov
    • CommentTimeDec 4th 2011
    Jorge Picado and Aleš Pultr have published a new textbook on locales:
    Frames and Locales. Topology without points

    It as available for download here:

    Apart from Johnstone's classic Stone Spaces,
    this seems to be the only book-length treatment of locales.

    It also seems to be the only textbook on general topology written from localic viewpoint
    (Johnstone's book is somewhat specialized in its choice of topics.)
    • CommentRowNumber2.
    • CommentAuthorTobyBartels
    • CommentTimeDec 4th 2011
    • CommentRowNumber3.
    • CommentAuthorMike Shulman
    • CommentTimeDec 5th 2011

    I haven’t looked at this new book yet, but I thought I would mention that there is also a lot of locale theory (probably enough to fill a short book) in Part C of Sketches of an Elephant. Steve Vickers’ book Topology via Logic uses locales extensively as well, although its viewpoint is somewhat idiosyncratic.

    • CommentRowNumber4.
    • CommentAuthorMike Shulman
    • CommentTimeDec 6th 2011

    I see that this book has several chapters on uniform locales! I’ve always wanted to understand those better. Now I need to find some hours to sit down and read it…

Add your comments
  • Please log in or leave your comment as a "guest post". If commenting as a "guest", please include your name in the message as a courtesy. Note: only certain categories allow guest posts.
  • To produce a hyperlink to an nLab entry, simply put double square brackets around its name, e.g. [[category]]. To use (La)TeX mathematics in your post, make sure Markdown+Itex is selected below and put your mathematics between dollar signs as usual. Only a subset of the usual TeX math commands are accepted: see here for a list.

  • (Help)