TY - JOUR
T1 - A logical look at characterizations of geometric transformations under mild hypotheses
AU - Pambuccian, Victor
PY - 2000
Y1 - 2000
N2 - 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.
AB - 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.
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U2 - 10.1016/S0019-3577(00)80009-9
DO - 10.1016/S0019-3577(00)80009-9
M3 - Article
AN - SCOPUS:0034391517
SN - 0019-3577
VL - 11
SP - 453
EP - 462
JO - Indagationes Mathematicae
JF - Indagationes Mathematicae
IS - 3
ER -