Product-transitively paracompact space
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 compactness. View other variations of compactness
This is a variation of paracompactness. View other variations of paracompactness
Definition
Symbol-free definition
A topological space is termed product-transitively paracompact if its product with any paracompact space is paracompact.
Formalisms
In terms of the product-transiter operator
This property is obtained by applying the product-transiter operator to the property: paracompactness
Relation with other properties
Stronger properties
Weaker properties
Metaproperties
Products
This property of topological spaces is closed under taking finite products
Any finite product of product-transitively paracompact spaces is again product-transitively paracompact. This follows from the general theory of product-transiters.