Difference between revisions of "Sierpinski space"
From Encyclopedia of Mathematics
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The Sierpinski space is a particular [[topological space]]. It consists of the set $\{a,b\}$ with open sets $\{ \emptyset, \{a\}, \{a,b\} \}$. | The Sierpinski space is a particular [[topological space]]. It consists of the set $\{a,b\}$ with open sets $\{ \emptyset, \{a\}, \{a,b\} \}$. | ||
====References==== | ====References==== | ||
* Steen, Lynn Arthur; Seebach, J.Arthur jun. ''Counterexamples in topology'' (2nd ed.) Springer (1978) ISBN 0-387-90312-7 {{ZBL|0386.54001}} | * Steen, Lynn Arthur; Seebach, J.Arthur jun. ''Counterexamples in topology'' (2nd ed.) Springer (1978) ISBN 0-387-90312-7 {{ZBL|0386.54001}} | ||
Revision as of 14:32, 2 January 2016
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
Sierpinski space. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Sierpinski_space&oldid=37284