###### Asked in ScienceMathematicians

Science

Mathematicians

# Is Bolzano-Weierstrass theorem for sets equivalent to the completeness theorem?

## Answer

###### Wiki User

###### October 07, 2010 12:26AM

Yes, it is, as are all the following:

Completeness Axiom

Heine-Borel

Nested Set

Bolzano-Weierstrass

Monotone Convergence

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