# Difference between revisions of "Completely Normal Space"

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− | + | A [[Topological space|topological space]] $X$ is said to be <strong>completely normal</strong> if every [[Subspace|subspace]] of $X$ is [[Normal Space|normal]].<ref>Munkres, James R. Topology, 2015. pg. 203.</ref> | |

+ | |||

+ | == Further Reading == | ||

+ | * [[Normal Space|Normal Spaces]] | ||

+ | * [[Hausdorff space|Hausdorff Spaces]] | ||

+ | * [[Separation Axioms]] | ||

+ | |||

+ | == See Also == | ||

+ | * [[Regular Space|Regular Space]]s | ||

+ | * [[Completely Regular Space|Completely Regular Space]]s | ||

+ | |||

+ | == References == | ||

+ | <references group="references" /> | ||

[[Category:General Topology]] | [[Category:General Topology]] |

## Latest revision as of 06:27, 1 December 2018

A topological space $X$ is said to be **completely normal** if every subspace of $X$ is normal.^{[1]}

## Further Reading

## See Also

## References

- ↑ Munkres, James R. Topology, 2015. pg. 203.