Binormal space

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This article defines a property of topological spaces: a property that can be evaluated to true/false for any topological space|View a complete list of properties of topological spaces
This is a variation of normal space. View other variations of normal space

Definition

Symbol-free definition

A topological space is termed binormal if its product with the unit interval (with the product topology) is a normal space.

Equivalently (??), a topological space is termed binormal if it is both a normal space and a countably paracompact space.

Relation with other properties

Stronger properties

property quick description proof of implication proof of strictness (reverse implication failure) intermediate notions
Compact Hausdorff space
Paracompact Hausdorff space

Weaker properties

property quick description proof of implication proof of strictness (reverse implication failure) intermediate notions
Normal space |

References

Textbook references

  • Algebraic Topology by Edwin H. SpanierMore info, Page 56, Exercise B-2 (definition introduced in exercise)