Timeline for Should we divide [tag:dimension-theory] into 2 tags, one for topology, and one for algebra?
Current License: CC BY-SA 4.0
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| Jun 12, 2020 at 10:07 | history | edited | CommunityBot |
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| Dec 13, 2019 at 13:53 | comment | added | quid Mod | That's done now. | |
| Apr 22, 2019 at 21:37 | history | edited | Xander HendersonMod | CC BY-SA 4.0 |
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| Apr 22, 2019 at 10:33 | history | edited | Martin Sleziak | CC BY-SA 4.0 |
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| Apr 22, 2019 at 9:15 | comment | added | Martin Sleziak | The thing that worries me about this proposal the most is that it suggests to put under the same tag questions about dimension of vector spaces and dimension of rings. I am not sure whether a tag for dimension in linear algebra is needed, but if it is, I think it should be separate from the tag intended mostly for rings and modules. | |
| Apr 22, 2019 at 9:13 | comment | added | Martin Sleziak | BTW if the new tag (dimension-theory-algebra) or (algebraic-dimension-theory) is created, should it be added to the questions which already have tags (krull-dimension), (global-dimension)? | |
| Apr 21, 2019 at 11:48 | comment | added | Mark McClure | Xander - One way to find some questions on topological dimension is to do a Google searchs on "inductive dimensin" or "topological dimension". I agree that we get far fewer than for Hausdorff dimension but there are some. | |
| Apr 20, 2019 at 13:15 | comment | added | Xander Henderson Mod | @MartinSleziak I am open to the idea of dimension-theory-analysis, etc. I don't think that dimension-theory-topology is necessary, however. Looking through the list of questions tagged both dimension-theory and general-topology, it seems that nearly all of them are about metric spaces, and fall within the scope of analysis. | |
| Apr 20, 2019 at 8:14 | comment | added | Martin Sleziak | @ArcticChar I have pinged some users who are active in the (fractals) tag - and mentioned this discussion, let's hope they will come here if they have something to contribute to this. | |
| Apr 20, 2019 at 7:11 | comment | added | Arctic Char | Just realized that GEdgar wrote a book which includes both the topological dimension and the Hausdorff dimension. It would be great if he can say something about this current issues. | |
| Apr 20, 2019 at 5:32 | comment | added | Martin Sleziak | Wouldn't names such as (dimension-theory-algebra), (dimension-theory-analysis) or (dimension-theory-topology) make it clearer that the additional word is just a modifier included to distinguish the tags rather than a name of some area of research? Or are the names algebraic dimension theory, analytics dimension theory, topological dimension theory commonly used? | |
| Apr 20, 2019 at 5:05 | comment | added | Xander Henderson Mod | @Andrews Yeah, but these notions of dimension are not simply metric; they also typically involve measures, and are properly contained in the the field of analysis. "Analytic dimension theory" seems like the right terminology to contrast with "algebraic number theory." The adjective "topological" doesn't seem quote right to me, though if it came down to it, I suppose that "topological" might be an acceptable alternative adjective. | |
| Apr 20, 2019 at 4:40 | comment | added | Martin Sleziak | Re: I am not sure that I have ever actually seen a question about topological dimension theory. Depending on the viewpoint, some people might count there also questions about Hausdorff dimension or some other types of dimension that you have mentioned. But definitely these ones: Lebesgue covering dimension, small and large inductive dimension | |
| Apr 20, 2019 at 3:52 | comment | added | Andrews | @XanderHenderson I mean the questions about topological and metric notions of dimension, "analytic" might be considered as "analytic" in "analytic geometry". | |
| Apr 19, 2019 at 21:34 | comment | added | hardmath | Krull dimension for commutative rings is the supremum of lengths of chains of prime ideals (by inclusion). It is unrelated to the dimension of a vector space. | |
| Apr 19, 2019 at 16:01 | history | edited | Xander HendersonMod | CC BY-SA 4.0 |
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| Apr 19, 2019 at 15:57 | comment | added | Xander Henderson Mod | I am not sure that I have ever actually seen a question about topological dimension theory. That is not to say that such a thing doesn't exist---I just don't think that it comes up all that often. | |
| Apr 19, 2019 at 13:56 | comment | added | Andrews | The idea is great, but I suppose "analytic" is a bit misleading to questions about topology. | |
| Apr 19, 2019 at 12:58 | history | answered | Xander HendersonMod | CC BY-SA 4.0 |