There is no categorical metric continuum

Details There is no categorical metric continuum There is no categorical metric continuum

2005-09-05

arxiv.org/abs/math/0509099v2

Mathematics

General Topology

Revision after comments from referee (2006-01-16)

Scientific paper

We show there is no categorical metric continuum. This means that for every
metric continuum X there is another metric continuum Y such that X and Y have
(countable) elementarily equivalent bases but X and Y are not homeomorphic. As
an application we show that the chainability of the pseudoarc is not a
first-order property of its lattice of closed sets.

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