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A Few Points on Pointfree Pseudocompactness

✍ Scribed by Dube, Themba; Matutu, Phethiwe

Book ID
118179824
Publisher
Taylor and Francis Group
Year
2007
Tongue
English
Weight
208 KB
Volume
30
Category
Article
ISSN
1607-3606

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For k=2 and 3, B. Shekhtman proved that n+k&1 is the smallest dimension of a subspace, F C(R n ) that can interpolate to k specified real values at k distinct points in R n . Here we characterize such spaces that interpolate at a few points. The characterization provides an economical proof of Shekh