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On T 3-Topological Space Omitting Many Cardinals
Authors:Shelah  Saharon
Affiliation:(1) Institute of Mathematics, The Hebrew University, Jerusalem, Israel;(2) Mathematics Department, Rutgers University, New Brunswick, NJ, USA
Abstract:We prove that for every (infinite cardinal) lambda there is a T3-space X with clopen basis, 
$$2^{2^lambda}$$
points such that every closed subspace of cardinality < 
$$2^{2^lambda}$$
has cardinality < lambda.
Keywords:
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