Characterizations of normal structure

Lim, Teck Cheong

doi:10.1090/S0002-9939-1974-0361728-X

Characterizations of normal structure
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Proc. Amer. Math. Soc. 43 (1974), 313-319 Request permission

Abstract:

The notions of asymptotic center for a decreasing net of sets and asymptotic normal structure are defined and several characterizations of normal structure are proved. Among these, the problem of whether complete normal structure is equivalent to normal structure is answered in the affirmative.

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