A sufficient condition for countable-set aposyndesis

Bennett, Donald E.

doi:10.1090/S0002-9939-1972-0293594-3

A sufficient condition for countable-set aposyndesis
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Proc. Amer. Math. Soc. 32 (1972), 578-584 Request permission

Abstract:

In this paper a stronger form of aposyndesis is defined and continua with this property (strongly aposyndetic) are shown to be countable-set aposyndetic. Although every continuum which is a product of nondegenerate continua is countable-set aposyndetic, it is established that no product of nondegenerate continua is strongly aposyndetic.

References

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Sur l’existence des continus indécomposables

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Analytical topology

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