File:Separation axioms.png

From Wikimedia Commons, the free media repository
Jump to navigation Jump to search

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

Captions

Captions

Add a one-line explanation of what this file represents

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!)


Green copyright.svg The copyright holder of this work allows anyone to use it for any purpose including unrestricted redistribution, commercial use, and modification.

Dialog-warning.svg 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:

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current01:17, 26 July 2009Thumbnail for version as of 01:17, 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 2009Thumbnail for version as of 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 2005Thumbnail for version as of 06:12, 27 March 20052,773 × 3,754 (41 KB)Dbenbenn (talk | contribs)higher resolution version, 1200 DPI
07:05, 3 November 2004Thumbnail for version as of 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.

The following 3 pages use this file:

File usage on other wikis

The following other wikis use this file: