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This article may be too technical for most readers to understand.(September 2010) |
Should it be mentioned that the
Animorphs books mention "Z-Space" a lot? Maybe "Z-Space" should redirect here.
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dogman15
02:38, 14 November 2006 (UTC)
I intend to move this article to zero-dimensional (topology). In fact, the "about" template is not a sufficient dab, as non trivial zero-dimensional objects exists in algebraic geometry and commutative algebra (the zero-dimensional commutative Noetherian rings are exactly the Artinian rings and the zero-dimensional reduced commutative rings are exactly the commutative von Neumann regular rings). After the moving, I'll create the pages zero-dimensional (algebraic geometry), zero-dimensional (commutative rings), (probably the same page through a redirect) and zero-dimensional (disambiguation). D.Lazard ( talk) 16:24, 17 March 2012 (UTC)
Perhaps your real concern is the fact that zero-dimensional is a redirect to this page? That's a separate issue. I have no problem with you creating a zero-dimensional commutative ring article (note that it should be a noun, so this is better than the title you proposed, which was an adjective), and turning zero-dimensional into a disambig page. -- Trovatore ( talk) 19:38, 17 March 2012 (UTC)
In general, I believe that article titles are not supposed to be adjectives, according to the MOS. — Carl ( CBM · talk) 23:26, 17 March 2012 (UTC)
The section Properties of spaces with small inductive dimension zero begins with this paragraph:
"A zero-dimensional Hausdorff space is necessarily totally disconnected, but the converse fails. However, a locally compact Hausdorff space is zero-dimensional if and only if it is totally disconnected."
It is not clear what the word "converse" refers to in the first sentence.
Is the (not necessarily true) converse this statement: "A totally disconnected Hausdorff space is zero-dimensional" ?
If so, this is not at all clear from the current phrasing. The phrase could mean the converse is "A totally disconnected set is zero-dimensional and Hausdorff".)
I hope that someone knowledgeable about this subject will clarify this issue. — Preceding unsigned comment added by 2601:200:c082:2ea0:6115:5f27:a5ac:8057 ( talk) 06:44, 9 April 2024 (UTC)
This
level-5 vital article is rated Start-class on Wikipedia's
content assessment scale. It is of interest to the following WikiProjects: | |||||||||||
|
This article may be too technical for most readers to understand.(September 2010) |
Should it be mentioned that the
Animorphs books mention "Z-Space" a lot? Maybe "Z-Space" should redirect here.
-
dogman15
02:38, 14 November 2006 (UTC)
I intend to move this article to zero-dimensional (topology). In fact, the "about" template is not a sufficient dab, as non trivial zero-dimensional objects exists in algebraic geometry and commutative algebra (the zero-dimensional commutative Noetherian rings are exactly the Artinian rings and the zero-dimensional reduced commutative rings are exactly the commutative von Neumann regular rings). After the moving, I'll create the pages zero-dimensional (algebraic geometry), zero-dimensional (commutative rings), (probably the same page through a redirect) and zero-dimensional (disambiguation). D.Lazard ( talk) 16:24, 17 March 2012 (UTC)
Perhaps your real concern is the fact that zero-dimensional is a redirect to this page? That's a separate issue. I have no problem with you creating a zero-dimensional commutative ring article (note that it should be a noun, so this is better than the title you proposed, which was an adjective), and turning zero-dimensional into a disambig page. -- Trovatore ( talk) 19:38, 17 March 2012 (UTC)
In general, I believe that article titles are not supposed to be adjectives, according to the MOS. — Carl ( CBM · talk) 23:26, 17 March 2012 (UTC)
The section Properties of spaces with small inductive dimension zero begins with this paragraph:
"A zero-dimensional Hausdorff space is necessarily totally disconnected, but the converse fails. However, a locally compact Hausdorff space is zero-dimensional if and only if it is totally disconnected."
It is not clear what the word "converse" refers to in the first sentence.
Is the (not necessarily true) converse this statement: "A totally disconnected Hausdorff space is zero-dimensional" ?
If so, this is not at all clear from the current phrasing. The phrase could mean the converse is "A totally disconnected set is zero-dimensional and Hausdorff".)
I hope that someone knowledgeable about this subject will clarify this issue. — Preceding unsigned comment added by 2601:200:c082:2ea0:6115:5f27:a5ac:8057 ( talk) 06:44, 9 April 2024 (UTC)