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The structure of non-completely regular spaces

โœ Scribed by Jose L. Blasco


Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
283 KB
Volume
16
Category
Article
ISSN
0166-8641

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In this paper, we study the structure spaces of regular C\*-algebras. A complex C\*algebra A is regular if the mapping ~ between the set of regular C\*-seminorms on A and the set of primitive ideals of A is onto. We discuss the case of regular C\*-algebras where the structure spaces are not T1. (~)

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Under either CH or not-SH, there exists a O-dimensional Hausdorff space of countable spread which is not the union of a hereditarily separable and a hereditarily LindeMf space. Under not-SH + 2" > &, there exists a O-dimensional Hausdorff space of spread discrete subspace of cardinality N,,. ' .

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โœ Edoardo Ballico ๐Ÿ“‚ Article ๐Ÿ“… 1988 ๐Ÿ› Springer ๐ŸŒ English โš– 615 KB

ON THE INDEX OF REGULARITY OF NON-SPECIAL SPACE CURVES We work over the complex number field. Fix a curve C c p3, deg(C) = d, pa(C) = g, with d >~ g + 3. C is called of maximal rank if for every integer t > 0 the restriction map rc(t): Hยฐ(P 3, Cp3(t))~ Hยฐ(C, (gc(t)) has maximal rank. If (d, g) # (3,