File:Image preimage conterexample bf.gif

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Summary

Description
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(f−1(B)) ⊆ B holds generally, f(f−1(B)) ⊇ B does not:
e.g. f(f−1(B3)) = f(A3) = B2B3.
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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current03:35, 27 August 2019Thumbnail for version as of 03:35, 27 August 20191,332 × 814 (27 KB)Jochen BurghardtUser created page with UploadWizard

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