A logical look at characterizations of geometric transformations under mild hypotheses

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Abstract

For several characterizations of geometric transformations - which state that a map, which satisfies certain conditions like injectivity, surjectivity, bijectivity and preserves certain geometric notions γi, must preserve another notion ν as well - we provide the definitional counterpart, i.e. a definition that satisfies certain syntactic constraints of the notion ν in terms of the notions γi. 2000 MSC: 51M05 51B10 03C40.

Original languageEnglish (US)
Pages (from-to)453-462
Number of pages10
JournalIndagationes Mathematicae
Volume11
Issue number3
DOIs
StatePublished - Jan 1 2000

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ASJC Scopus subject areas

  • Mathematics(all)

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