Example of compact space which is not sequnctial compact
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The first uncountable ordinal with the order topology is an example of a sequentially compact topological space that is not compact. The product of copies of the closed unit interval is an example of a compact space that is not sequentially compact.
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The first uncountable ordinal with the order topology is an example of a sequentially compact topological space that is not compact. The product of copies of the closed unit interval is an example of a compact space that is not sequentially compact.
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