File:Filter vs ultrafilter.svg

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English: The Hasse diagram shows the set of all subsets of {1,2,3,4}, partially ordered by set inclusion (⊆). The upper set ↑{1,4} is highlighted in dark green, it is a filter. However, it is not an ultrafilter, since it can still be extended to the properly larger filter ↑{1}, shown in light green. The latter cannot be extended to any nontrivial larger filter in turn, it is hence an ultrafilter.
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Source Own work based on: Upset.svg
Author Jochen Burghardt
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Date/TimeThumbnailDimensionsUserComment
current08:06, 26 February 2020Thumbnail for version as of 08:06, 26 February 2020528 × 415 (18 KB)Jochen Burghardt (talk | contribs)change colors towards more definite names ("light green", "dark green")
11:17, 25 July 2016Thumbnail for version as of 11:17, 25 July 2016528 × 415 (18 KB)Jochen Burghardt (talk | contribs)User created page with UploadWizard

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