Dmitrii Viktorovich Anosov
Moscow State University,
Steklov Mathematical Institut
Evgeny Viktorovich Zhuzhoma
Professor, Adyghey State University
At the moment there are many publications concerning the Closing Lemma and its variations. In the survey one considers various types of Closing Lemmas. One adduces the ideas of proofs of main results and sketches for constructions of important examples. One demonstrates an application of Closing Lemmas for the description of residual sets in spaces of dynamical systems.