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Logic Journal of IGPL 2005 13(2):151-158; doi:10.1093/jigpal/jzi011
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© The Author, 2005. Published by Oxford University Press. All rights reserved.

Original Articles

A Weak Constructive Sequential Compactness Property and the Fan Theorem

Douglas Bridges

Department of Mathematics and Statistics, University of Canterbury, Private Bag 4800, Christchurch, New Zealand. E-mail: d.bridges{at}math.canterbury.ac.nz

A weak constructive sequential compactness property of metric spaces is introduced. It is proved that for complete, totally bounded metric spaces this property is equivalent to Brouwer's fan theorem for detachable bars. Our results form a part of constructive reverse mathematics.

Key Words: constructive, sequential compactness, fan theorem, reverse mathematics

Received 14 September 2004. Revised 27 January 2005.


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