grandes-ecoles 2015 QIII.C

grandes-ecoles · France · centrale-maths2__psi Proof Existence Proof
Prove that, for any continuous application $f : C(0,1) \rightarrow \mathbb{R}$, the set $\mathcal{D}_f$ admits exactly one element. 
Prove that, for any continuous application $f : C(0,1) \rightarrow \mathbb{R}$, the set $\mathcal{D}_f$ admits exactly one element.
Paper Questions
QI.A.1 QI.A.2 QI.B.1 QI.B.2 QI.B.3 QI.C.1 QI.C.2 QII.A QII.B.1 QII.B.2 QII.B.3 QII.C.1 QII.C.2 QII.D.1 QII.D.2 QII.D.3 QII.D.4 QIII.A.1 QIII.A.2 QIII.A.3 QIII.B.1 QIII.B.2 QIII.B.3 QIII.C QIV.A.1 QIV.A.2 QIV.A.3 QIV.A.4 QIV.B.1 QIV.B.2 QIV.B.3 QIV.C.1 QIV.C.2