# Sierpinski space

From Encyclopedia of Mathematics

*connected colon*

The Sierpinski space is a particular topological space. It consists of the set $\{a,b\}$ with open sets $\{ \emptyset, \{a\}, \{a,b\} \}$.

#### References

- Steen, Lynn Arthur; Seebach, J.Arthur jun.
*Counterexamples in topology*(2nd ed.) Springer (1978) ISBN 0-387-90312-7 Zbl 0386.54001

**How to Cite This Entry:**

Sierpinski space.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Sierpinski_space&oldid=37284