Please use this identifier to cite or link to this item: http://hdl.handle.net/10995/101420
Title: On generalization of theorems of Pestryakov
Authors: Osipov, A. V.
Issue Date: 2020
Publisher: Elsevier B.V.
Citation: Osipov A. V. On generalization of theorems of Pestryakov / A. V. Osipov. — DOI 10.1016/j.topol.2020.107399 // Topology and its Applications. — 2020. — Vol. 283. — 107399.
Abstract: In 1987 A.V. Pestryakov proved a series of theorems for cardinal functions of the space Bα(X) of all real-valued functions of Baire class α (α>0), and he conjectured that most of these theorems are true for spaces containing all finite linear combinations of characteristic functions of zero-sets in X. In this paper we investigate for which theorems of Pestryakov generalizations are valid. Also we prove some additional propositions for function spaces applying the theory of selection principles. © 2020
Keywords: CARDINAL FUNCTIONS
DENSITY
GΔ-MODIFICATION
LINDELÖF NUMBER
SELECTION PRINCIPLES
SPACE OF BAIRE FUNCTIONS
SPREAD
TIGHTNESS
URI: http://hdl.handle.net/10995/101420
Access: info:eu-repo/semantics/openAccess
SCOPUS ID: 85091633359
PURE ID: 13912325
963ab2e9-2305-40b3-b3e6-1192c0c9edd8
ISSN: 1668641
DOI: 10.1016/j.topol.2020.107399
Appears in Collections:Научные публикации, проиндексированные в SCOPUS и WoS CC

Files in This Item:
File Description SizeFormat 
2-s2.0-85091633359.pdf193,56 kBAdobe PDFView/Open


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.