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A Productive Class of Angelic Spaces
Author(s) -
Govaerts W.
Publication year - 1980
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s2-22.2.355
Subject(s) - class (philosophy) , computer science , artificial intelligence
The class of strictly angelic spaces is introduced as a natural subclass of the angelic spaces. They form a countably productive class with ideal compactness properties and can be used in theorems of Eberlein‐Šmulian type and related applications. Spaces of continuous functions with the point‐wise topology are the main subject of investigation. Much attention is also paid to L 1 , ( X , μ) and L ∞ ( X , μ) under special topologies.