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Tag Archives: connectedness
Koch’s arc theorem
Koch’s arc theorem is a famous theorem saying that, under a few conditions, given any point x of an open subset U of a pospace (X, ≤), one can draw an arc chain from some point on the boundary of … Continue reading
Posted in Uncategorized
Tagged arc, chain, compact pospace, connectedness
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Skula spaces I: clopen selectors
A Skula space is a space that is obtained from another space X by giving it the Skula topology instead, which is generated by the open sets and the closed sets of the original space X. In 1990, Alan Dow … Continue reading
Posted in Uncategorized
Tagged compactness, connectedness, noetherian, scattered, skula topology
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