# File:Separation axioms.png

Original file(2,772 × 3,753 pixels, file size: 32 KB, MIME type: image/png)

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File:Separation axioms.svg is a vector version of this file. It should be used in place of this PNG file when not inferior.

File:Separation axioms.png → File:Separation axioms.svg

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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## File history

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Date/TimeThumbnailDimensionsUserComment
current01:17, 26 July 20092,772 × 3,753 (32 KB)Toby Bartels (talk | contribs)Whoops, here's the one that doesn't have original research!
00:23, 26 July 20092,772 × 3,753 (34 KB)Toby Bartels (talk | contribs)Update to include T<sub>6</sub>.
06:12, 27 March 20052,773 × 3,754 (41 KB)Dbenbenn (talk | contribs)higher resolution version, 1200 DPI
07:05, 3 November 2004231 × 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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