File:Separation axioms.png
Original file (2,772 × 3,753 pixels, file size: 32 KB, MIME type: image/png)
Captions
A diagram of the relationships between the separation axioms.
Source: Toby Bartels, with help from Dbenbenn.
Licence: No rights reserved. See http://tobybartels.name/copyright/
. The image itself is pure information and thus probably not copyrightable. The source below is more likely to be copyrightable, but there are still no rights reserved.
TeX source by Toby Bartels using Xy-pic:
%&plain \def \frac #1#2{{\mathstrut #1\over \mathstrut #2}} \input xy \xyoption {all} \xyoption {ps} \xyoption {dvips} \nopagenumbers \xymatrix @!0 { & \relax \rm \bullet / T _ 6 \\ \relax \rm P N / \bullet \ar @{-} [ur] & & \relax \rm \bullet / T _ 5 \ar @{-} [ul] \\ & \relax \rm C N / \bullet \ar @{-} [ul] \ar @{-} [ur] & & \relax \rm \bullet / T _ 4 \ar @{-} [ul] \\ & & \relax \rm N / \bullet \ar @{-} [ul] \ar @{-} [ur] & & \relax \rm C R / T _ { 3 \frac 1 2 } \ar @{-} [ul] \\ & & & & & \relax \rm \bullet / \bullet \ar @{-} [ul] \\ & & & & \relax \rm \bullet / C T _ 2 \ar @{-} [ur] & & \relax \rm R / T _ 3 \ar @{-} [ul] \\ & & & & & \relax \rm \bullet / T _ { 2 \frac 1 2 } \ar @{-} [ul] \ar @{-} [ur] \\ & & & & \relax \rm R _ 1 / T _ 2 \ar @{-} [ur] \\ & & & \relax \rm R _ 0 / T _ 1 \ar @{-} [ur] \\ & & - / \rm T _ 0 \ar @{-} [uuuuuu] \ar @{-} [ur] } \bye
To produce the current image, I saved the above as "Separation_axioms.tex", then ran the following commands:
tex Separation_axioms.tex dvips -mode ljfzzz -D 1200 Separation_axioms -o convert -density 1200 Separation_axioms.ps Separation_axioms.pnm pnmcrop Separation_axioms.pnm | pnmtopng > Separation_axioms.png.uncrush pngcrush -cc -reduce -brute -l 9 Separation_axioms.png.uncrush Separation_axioms.png
(Thanks to Dbenbenn for the commands!)
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Please check the source to verify that this is correct. In particular, note that publication on the Internet, like publication by any other means, does not in itself imply permission to redistribute. Files without valid permission should be tagged with {{subst:npd}}. Usage notes:
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File history
Click on a date/time to view the file as it appeared at that time.
Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 01:17, 26 July 2009 | 2,772 × 3,753 (32 KB) | Toby Bartels (talk | contribs) | Whoops, here's the one that doesn't have original research! | |
00:23, 26 July 2009 | 2,772 × 3,753 (34 KB) | Toby Bartels (talk | contribs) | Update to include T<sub>6</sub>. | ||
06:12, 27 March 2005 | 2,773 × 3,754 (41 KB) | Dbenbenn (talk | contribs) | higher resolution version, 1200 DPI | ||
07:05, 3 November 2004 | 231 × 313 (6 KB) | Toby Bartels (talk | contribs) | A diagram of the relationships between the separation axioms. Original version by Toby Bartels. Redone from Toby's TeX source as PNG by Fropuff. |
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