Topology problem

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#123

From: Ken Grant
Date: Wed, 11 Nov 1992 02:44

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Topology problem:
If X is the continuous image of a countable successor ordinal with the
order topology by a map with all fibers finite, then is there a
compact Hausdorff topology finer than the topology of X ?

(If so then X countable T1, X the cts image of a compact Hausdorff
space ==> X is the cts image of a compact Hausdorff space under a
bijective map.
Is there a counterexample for X uncountable?)

Ken Grant.

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From: kgrant@alfred.ccs.carleton.ca (Ken Grant)
Subject: Topology problem
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Sender: Daniel Grayson <dan@math.uiuc.edu>
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Date: Wed, 11 Nov 1992 02:44:07 GMT
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