Video library: L. V. Genze, S. P. Gul'ko, T. E. Khmyleva, Classification of spaces of continuous and Baire functions

VIDEO LIBRARY


Complex Analysis and Related Topics (satelllite of ICM-2022) July 1, 2022 18:20, Kazan, Kazan (Volga Region) Federal University

Classification of spaces of continuous and Baire functions L. V. Genze, S. P. Gul'ko, T. E. Khmyleva
Abstract: The report will present an overview of the results concerning the classification of spaces of continuous functions and spaces of Baire functions defined on segments of ordinals [1 - 4]. Function spaces are considered with the topology of pointwise convergence. The presented results were obtained in the period from 1975 to 2018. Language: English References Genze L.V., Gul’ko S. P., Khmyleva T. E., “Klassifikatsiya prostranstv berovskikh funktsiy na otrezkakh ordinalov”, Trudy Instituta matematiki i mekhaniki URO RAN, 16:3 (2010), 61–66 Genze L.V., Gul’ko S. P., Khmyleva T. E., “Classification of continuous ??-valued function spaces and free periodic topological groups for ordinals”, Topology Proceedings, 38 (2011), 1–15 Genze L.V., Gul’ko S. P., Khmyleva T. E., “Classification of spaces of continuous functions on ordinals. Comment”, Math. Univ. Carolin, 59:3 (2018), 365–370 Genze L.V., Gul’ko S. P., Khmyleva T. E., “A complete topological classification of the space of Baire functions on ordinals”, Siberian Mathematical Journal, 59:6 (2018), 1006–1013