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Sierpinski space

From Encyclopedia of Mathematics
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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