• Source: A-paracompact space

In mathematics, in the field of topology, a topological space is said to be a-paracompact if every open cover of the space has a locally finite refinement. In contrast to the definition of paracompactness, the refinement is not required to be open.
Every paracompact space is a-paracompact, and in regular spaces the two notions coincide.




References


Willard, Stephen (2004). General Topology. Dover Publications. ISBN 0-486-43479-6.

Kata Kunci Pencarian:

• Paracompact space
• A-paracompact space
• Normal space
• Michael's theorem on paracompact spaces
• Thom space
• Metrizable space
• Classifying space for U(n)
• Point-finite collection
• Homotopy theory
• Lindelöf space