Topological spaces | Topology | Properties of topological spaces

Shrinking space

In mathematics, in the field of topology, a topological space is said to be a shrinking space if every open cover admits a shrinking. A shrinking of an open cover is another open cover indexed by the same indexing set, with the property that the closure of each open set in the shrinking lies inside the corresponding original open set. (Wikipedia).

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Subscribe to our YouTube Channel for all the latest from World Science U. Visit our Website: http://www.worldscienceu.com/ Like us on Facebook: https://www.facebook.com/worldscienceu Follow us on Twitter: https://twitter.com/worldscienceu

From playlist Science Unplugged: Cosmology

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Related pages

Metacompact space | Topological space | Mathematics | Normal space | Topology | Paracompact space | Partition of unity