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File:Image preimage conterexample intersection.gif

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    Original file (1,332 × 814 pixels, file size: 30 KB, MIME type: image/gif)

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    English: Counter-examples for function image/preimage laws that might intuitively be expected but do not hold in general. See File:Image preimage conterexamples.gif for detailled description.
    • While f(A∩A′) ⊆ f(A) ∩ f(A′) holds generally, f(A∩A′) ⊇ f(A) ∩ f(A′) does not:
    e.g. f(A1∩A2) = f(A3) = B2 ⊅ B1 = B1 ∩ B1 = f(A1) ∩ f(A2).
    Date
    Source Own work
    Author Jochen Burghardt
    Other versions File:Image preimage conterexamples.gif (all counter-examples without highlighting) — File:Image preimage conterexample intersection.gif (intersection counter-example) — File:Image preimage conterexample bf.gif (backward-forward counter-example) — File:Image preimage conterexample fb.gif (forward-backward counter-example)

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    27 August 2019

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    Date/TimeThumbnailDimensionsUserComment
    current09:35, 27 August 2019Thumbnail for version as of 09:35, 27 August 20191,332 × 814 (30 KB)Jochen BurghardtUser created page with UploadWizard

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