Title: From the Basic Homotopy Lemma to the Classification Of $C^*$-Algebras
Subjects: Homotopy theory, C algebras, Problems, exercises, C*-algebras, Functional analysis -- Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W^*$-) algebras, etc.) -- Classifications of $C^*$-algebras, Functional analysis -- Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W^*$-) algebras, etc.) -- General theory of $C^*$-algebras, Functional analysis -- Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W^*$-) algebras, etc.) -- $K$-theory and operator algebras (including cyclic theory)