Electronic Version 17 (1992), 389-390

Julien Doucet

We denote the set of endpoints of a chainable continuum X by Ep(X).

We announce the proofs of the following theorems:

Theorem 1. There exist (in)decomposable continua with (exactly) n endpoints for each nonnegative integer n.

Theorem 2. There exist (in)decomposable continua X such that Ep(X) is complete and countably infinite.

Theorem 3. There exist (in)decomposable continua X such that the set Ep(X) is incomplete and countably infinite.

Theorem 4. There exist (in)decomposable continua X such that Ep(X) is complete and uncountable.

Theorem 5. There exist (in)decomposable continua X such that the set Ep(X) is incomplete and uncountable.

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topology proceedings Electronic Version