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 term is nonstandard and is being used locally within the wiki. For its use outside the wiki, please define the term when using it.
Relation with other properties
|property||quick description||proof of implication||proof of strictness (reverse implication failure)||intermediate notions|
|Manifold||Manifold implies nondegenerate|||FULL LIST, MORE INFO|
|CW-space||CW implies nondegenerate|||FULL LIST, MORE INFO|
|Compactly nondegenerate space|||FULL LIST, MORE INFO|
- Topological space which has a nondegenerate point
This property of topological spaces is hereditary on retracts, viz if a space has the property, so does any retract of it
View all retract-hereditary properties of topological spaces
Any retract of a nondegenerate space is again nondegenerate.