Explore the intricacies of CW structures in noncommutative geometry through this comprehensive lecture by Francesco D'Andrea from Università degli Studi di Napoli Federico II, Italy. Delve into key concepts such as commodity equivalence, case theory, and CW complexes, both in classical and noncommutative settings. Examine lateral echo vibration, CW categories, and the nuances of weak and weakest CW structures. Gain valuable insights into this advanced mathematical topic through a well-structured presentation that covers fundamental notations and theoretical frameworks.