Feuille de TD n°1 (Applications : injectivité, surjectivité, ...) Exercice ...

Montrer que f est injective si, et seulement si, f est surjective. Exercice 5. On veut montrer qu'il n'existe pas de surjection d'un ensemble dans l'ensemble de ...







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De même sachant que h o g est injective, alors g est injective. De plus g o f est surjective et g est injective alors f est surjective. (5a). Et ainsi de suite.
Correction des exercices du TD1
Pour chacune des applications ci-dessous, déterminer si elle est injective, surjective, bijective. ... Exercice 11. Corrigé fait en TD. Images directes, images ...
Mathématiques 1 Série de TD 03- Les applications. 1ère Année
Exercice 03: Les applications suivantes sont elles injectives, surjectives, bijectives ? (a) f : R* ! R (b) g : Z !
Pascal Lainé Ensembles-Applications Exercice 1 - de la licence Math
Que peut-on conclure sur ? ? ? si ? et ? sont bijectives ? 4. Montrer que si ? ? ? est injective alors ? est injective. 5. Montrer que si ? ? ? est surjective ...
td2s1corrig.pdf
Exercice 8: (Supplémentaire) On considère quatre ensembles A, B, C et D et des applications f: A?B, g: B? C, h: C? D. Montrer que: 1. (gof)injective f injective.
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