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Timeline for Foundations of topology

Current License: CC BY-SA 3.0

18 events
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Aug 9, 2022 at 23:27 answer added Timothy Chow timeline score: 4
Jan 3, 2019 at 8:15 vote accept Bananeen
S Jun 29, 2017 at 5:06 history suggested Matthieu FG
Added topos tag
Jun 29, 2017 at 3:40 review Suggested edits
S Jun 29, 2017 at 5:06
Apr 13, 2017 at 12:58 history edited CommunityBot
replaced http://mathoverflow.net/ with https://mathoverflow.net/
Apr 18, 2016 at 13:16 answer added Mikhail Katz timeline score: 14
Apr 18, 2016 at 10:41 comment added Mikhail Katz I don't know enough about Grothendieck's program to be able to tell whether the more accurate description of it is to develop foundations of topology "without CW complexes" or rather "without points", as in the current version of the question. Could some experts comment? @ToddTrimble?
Apr 18, 2016 at 10:31 history reopened Daniel Moskovich
Stefan Kohl
Mikhail Katz
Francois Ziegler
Sebastian Goette
Apr 18, 2016 at 10:31 comment added Sebastian Goette To make my point more precise - some branches of modern topology are described using model categories, $\infty$-categories and the like. I am surely not the right person to write such an answer, but maybe somebody else wants to. I am voting to reopen, and I leave it to somebody else to roll back to the original question and give an answer if he/she likes.
Apr 18, 2016 at 10:26 comment added Sebastian Goette @DanielMoskovich I don't know what the OP really intended. But as he was talking about CW complexes instead of arbitrary topological spaces, it seems that your edit shifted the question considerably from the realm of algebraic-topology-oriented topology to (completely) general topology. To me this looks like a different question that you might want to ask separately.
Apr 18, 2016 at 10:04 comment added Mikhail Katz The theory of o-minimal structures can be interpeted as progress in this general direction; see related question here.
Apr 18, 2016 at 9:10 review Reopen votes
Apr 18, 2016 at 10:31
Apr 18, 2016 at 9:01 history edited Daniel Moskovich CC BY-SA 3.0
Removed extraneous paragraphs at the end. Refocussed question.; edited tags
Apr 18, 2016 at 8:58 comment added Daniel Moskovich I don't know- it seems a decent enough question to me (although it could certainly use some rewriting; I've given it a try). The question is: "What approaches are there to the foundations of topology that are not based on the concept of "points"?". Voting to reopen.
Apr 13, 2016 at 5:41 history closed Ryan Budney
user1073
Franz Lemmermeyer
Alex Degtyarev
HJRW
Opinion-based
Apr 13, 2016 at 2:36 history edited Bananeen CC BY-SA 3.0
added 89 characters in body
Apr 13, 2016 at 2:34 review Close votes
Apr 13, 2016 at 5:43
Apr 13, 2016 at 2:03 history asked Bananeen CC BY-SA 3.0