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Essential extensions of Hausdorff spaces

✍ Scribed by Horst Herrlich

Publisher
Springer
Year
1994
Tongue
English
Weight
272 KB
Volume
2
Category
Article
ISSN
0927-2852

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Let C R (X) denote, as usual, the Banach algebra of all real valued continuous functions on a compact Hausdorff space X endowed with the supremum norm. We present an elementary proof of the following extension result for C R (X): For a given g ∈ C R (X) with zero set Zg and for the n-tuple (f1, . .

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We show that for very infinite cardinal (x there is at Hausdorff space with density Q! and weight exp exp exp CL It is well-known that this is the maximum weight a space Iwit density can have.