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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeOct 5th 2010
   • (edited Oct 5th 2010)
   • PermaLink
   Author: Urs
   Format: MarkdownItexI tentatively added the reference * Schlomiuk, _An elementary theory of the category of topological spaces_ to [[Top]]. I have to admit, though, that I did not study it. Does anyone know more about this?

   I tentatively added the reference

   • Schlomiuk, An elementary theory of the category of topological spaces

   to Top.

   I have to admit, though, that I did not study it. Does anyone know more about this?

2. • CommentRowNumber2.
   • CommentAuthorTobyBartels
   • CommentTimeOct 5th 2010
   • PermaLink
   Author: TobyBartels
   Format: MarkdownItexI haven't read Schlomiuk either, but the title reminds me of the intention behind Paul Taylor's [[Abstract Stone Duality]].

   I haven’t read Schlomiuk either, but the title reminds me of the intention behind Paul Taylor’s Abstract Stone Duality.

3. • CommentRowNumber3.
   • CommentAuthorDavidRoberts
   • CommentTimeOct 5th 2010
   • PermaLink
   Author: DavidRoberts
   Format: MarkdownItexI think the treatment could be given a good workover. There are some axioms which could be more succinctly stated, much like [[ETCS]] can be stated very briefly as "The category of sets is a well-pointed topos with a natural numbers object satisfying the axiom of choice." Some of them might be able to be incorporated into the axioms for a [[topological concrete category]].

   I think the treatment could be given a good workover. There are some axioms which could be more succinctly stated, much like ETCS can be stated very briefly as “The category of sets is a well-pointed topos with a natural numbers object satisfying the axiom of choice.” Some of them might be able to be incorporated into the axioms for a topological concrete category.