Binormal space
From Topospaces
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
Contents
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. Spanier^{More info}, Page 56, Exercise B-2 (definition introduced in exercise)