Compact subspaces of the space of separately continuous functions with the cross-uniform topology

DOI10.1016/J.TOPOL.2024.109047MaRDI QIDQ6611778

Roman Ivasiuk, O. V. Maslyuchenko, Vadym Myronyk

Publication date: 27 September 2024

Published in: Topology and its Applications (Search for Journal in Brave)

zbMATH Keywords

space of continuous functionscellularityEberlein compactseparately continuous functioncompact spaceset-open topologyRosenthal compactpointwise topologycross-uniform topologycross-open topologyEberlein spaceset-uniform topologysharp cellularityspace of separately continuous functions

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Compactness (54D30) Weak and generalized continuity (54C08) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Embedding (54C25)

Cites Work

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• Continuous images of weakly compact subsets of Banach spaces
• The structure of weakly compact sets in Banach spaces
• The bornologicity of the space of separately continuous functions
• Топологiзацiя простору нарiзно неперервних функцiй
• Joint Continuity of Separately Continuous Functions

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