# 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. (Wikipedia).

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From playlist Toposes online

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From playlist Science Unplugged: Physics

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From playlist MIT 18.06 Linear Algebra, Spring 2005

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## Related pages

Topological space | Regular space | Locally finite collection | Mathematics | Topology | Paracompact space