Skip to main content
29 events
when toggle format what by license comment
Aug 2, 2019 at 11:49 comment added Martin Sleziak @AndrésE.Caicedo Since the tag (cardinal-characteristics) was created, I have added a tag-wiki. (The wording follows your suggestion.) Anyway, do not hesitate to edit it further if needed. Having two tags with very similar meaning is definitely not optimal, I have pinged the mods to ask what are their plans with these tags.
Mar 30, 2019 at 6:56 comment added Martin Sleziak @AndrésE.Caicedo I have created the tag-wiki for (small-uncountable-cardinals) based on the above suggestion. I'll leave it up to you whether you want to add also the part about $\mathfrak b(\kappa)$. I am not sure to which extent this discussion should be considered resolved - I have also asked moderators about this.
Mar 16, 2019 at 14:10 history edited Andrés E. Caicedo CC BY-SA 4.0
minor typo
Mar 16, 2019 at 13:57 comment added Martin Sleziak @Carl Mummert I don't think that there is any problem with that. As you say, if other users suggest further changes, the tag-wiki can be edited again.
Mar 16, 2019 at 13:53 comment added Carl Mummert Hmm - I had gone ahead and copied the draft from here to there, since having it empty seemed suboptimal. Maybe that was too fast. I do think changes from here should be copied over again as this is updated.
Mar 16, 2019 at 13:51 comment added Martin Sleziak Thanks for your edit @Carl Mummert. The purpose of this post is precisely that - to get some input on what should be in the tag-info and perhaps eventually - maybe after one or two weeks - when new feedback is being added - edit this into the actual tag-wiki for (infinite-combinatorics). (And also for some of the other tags - if the outcome of the discussion here is that they should be created.)
Mar 16, 2019 at 13:47 history edited Carl Mummert CC BY-SA 4.0
added 27 characters in body
Mar 16, 2019 at 13:40 comment added Carl Mummert I made a tweak to infinite-combinatorics; I think "Ramsey theory" has a different connotation in the countable case than the uncountable case, because the way the theorem is generalized is different (e.g. additive combinatorics vs. combinatorial set theory)
Mar 16, 2019 at 13:39 history edited Carl Mummert CC BY-SA 4.0
added 125 characters in body
Mar 15, 2019 at 8:02 comment added YCor @MartinSleziak indeed, my misunderstanding. Thanks for your effort to settle the question.
Mar 15, 2019 at 3:05 comment added Martin Sleziak @AndrésE.Caicedo A minor problem with (cardinal-characteristics-of-the-continuum) is that it runs above 35 characters limit. In any case, thanks for clarifications on what the tag you're proposing encompasses. (Let's hope there will be some feedback from other users to see what they think about the proposals made in the question and the answers posted so far.)
Mar 15, 2019 at 3:01 comment added Andrés E. Caicedo I think so, sure. Or we could just call it cardinal-characteristics-of-the-continuum or cardinal-invariants-of-the-continuum if limiting the scope is important. In any case my point is that deciding that "small uncountable" means of size at most continuum does not make it so (and it is meaningless. Would the tag be applicable to a question about $\omega_4$, or only if we add the silly extra clause that the continuum is larger?), and saying that the scope of a "small-uncountable-cardinals" tag is precisely "cardinal-characteristics-of-the-continuum" is silly, better to use proper terminology.
Mar 15, 2019 at 2:32 history edited Martin Sleziak CC BY-SA 4.0
added also some items from the tag-info on Mathemtaics (added by Andrés E. Caicedo)
Mar 15, 2019 at 2:18 comment added Martin Sleziak @AndrésE.Caicedo So if I understand it correctly, based on the suggested tag-info (current revision), the proposed (cardinal-characteristics) tag would be much wider than (small-uncountable-cardinals) and it would include various cardinal functions. So, for example, questions about tightness or weight of a topological space or questions about cellularity of a Boolean algebra would fit under this tag. Is that fair representation of the proposed (cardinal-charcteristics) tag?
Mar 15, 2019 at 1:41 comment added Martin Sleziak @YCor Sorry, but I do not understand your comment. Nobody is proposing creation of several tags. The way I see it, this discussion might end up with some of the possibilities; A) No new tag is created, the tag-info for (infinite-combinatorics) is improved. B) A new tag called (small-uncountable-cardinals) is created. C) A new tag called (cardinal-characteristics) is created. (In either of the cases, at most one new tag is created.)
Mar 14, 2019 at 22:15 comment added YCor What about two or three more closely related tags to add some entropy?
Mar 14, 2019 at 19:37 history edited Andrés E. Caicedo CC BY-SA 4.0
added 355 characters in body
Mar 14, 2019 at 19:28 comment added Andrés E. Caicedo OK, I added some additional information regarding the first tag (the tag info from the sister site).
Mar 14, 2019 at 19:24 history edited Andrés E. Caicedo CC BY-SA 4.0
added 996 characters in body
Mar 14, 2019 at 19:20 comment added Martin Sleziak Thanks for doing that @AndrésE.Caicedo. I hope this helps clarifying the indented scope of this tag. (It goes without saying that you should feel free to edit also the proposals for other tag-infos if you have some suggestions - these are definitely topics about which you know a lot more than I do.)
Mar 14, 2019 at 19:15 comment added Andrés E. Caicedo I added some potential tag info for the last suggestion.
Mar 14, 2019 at 19:15 history edited Andrés E. Caicedo CC BY-SA 4.0
added 990 characters in body
Mar 14, 2019 at 15:52 history edited Martin Sleziak CC BY-SA 4.0
added Ramsey ultrafilters
Mar 14, 2019 at 14:20 comment added Martin Sleziak It is possible that as the outcome of this discussion there will be a separate tag for cardinal characteristics of continuum. A natural question is whether in such case - if such tag is indeed created - instead of mentioning this as a topic which should fall under (infinite-combinatorics) the tag-info should say that there is a separate tag for such questions.
Mar 14, 2019 at 13:29 history edited Martin Sleziak CC BY-SA 4.0
added 4 characters in body
Mar 14, 2019 at 13:13 history edited Martin Sleziak CC BY-SA 4.0
added 3 characters in body
Mar 14, 2019 at 13:08 comment added Martin Sleziak There are many people around here who are much more qualified to comment on the content of these tags than me. But I have tried to make at least some initial suggestions to get the process started. (If we want the community to create some description for these tags, it is probably easier to do on meta - where people can leave comments. Moreover, for the tags which don't exists yet, there is not tag-info which could be edited.
S Mar 14, 2019 at 13:06 history answered Martin Sleziak CC BY-SA 4.0
S Mar 14, 2019 at 13:06 history made wiki Post Made Community Wiki by Martin Sleziak