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
Contact us: