Topology Proceedings
Document # baao-39
Topology Proceedings 33 (2009), pp. 131-138 |
|
 |
On partitions of unity in the Dedekind completion of certain subsets of continuous functions
B. Brosowski and A.R. da Silva
In this short paper we prove the existence of a continuous
partition ∑n = 1n rn=1 in the Dedekind-completion of
a subspace Z of C(T, R), where the functions rn are
constant on certain X-antisymmetric sets, where Z = span(X ∪X2). Further, we present some applications of our technique.
Keywords: partitions of unity, Dedekind completion
Mathematics Subject Classification: 54D35 (32A70)
- Document formats
- PDF file 149.5 Kb
Topology Proceedings,
Volume 33 (2009)
Subscription information
Copyright © 2009
Auburn University,
Nipissing University
and Topology Atlas