Electronic Resource
Springer
Monatshefte für Mathematik
131 (2000), S. 189-192
ISSN:
1436-5081
Keywords:
2000 Mathematics Subject Classification: 54C30
;
54E35
;
54D35
;
key words: Uniformly continuous real functions
;
lattice homomorphisms
;
Banach
;
Stone theorems
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract. In this note we prove that the uniformity of a complete metric space X is characterized by the vector lattice structure of the set U(X) of all uniformly continuous real functions on X.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s006050070008
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