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- Shrinking_space abstract "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.The following facts are known about shrinking spaces: Every shrinking space is normal. Every shrinking space is countably paracompact. In a normal space, every locally finite, and in fact, every point finite open cover admits a shrinking. Thus, every normal metacompact space is a shrinking space. In particular, every paracompact space is a shrinking space.These facts are particularly important because shrinking of open covers is a common technique in the theory of differential manifolds and while constructing functions using a partition of unity.".
- Shrinking_space wikiPageID "5075898".
- Shrinking_space wikiPageRevisionID "475319935".
- Shrinking_space hasPhotoCollection Shrinking_space.
- Shrinking_space subject Category:Properties_of_topological_spaces.
- Shrinking_space subject Category:Topological_spaces.
- Shrinking_space subject Category:Topology.
- Shrinking_space type Abstraction100002137.
- Shrinking_space type Attribute100024264.
- Shrinking_space type MathematicalSpace108001685.
- Shrinking_space type Possession100032613.
- Shrinking_space type PropertiesOfTopologicalSpaces.
- Shrinking_space type Property113244109.
- Shrinking_space type Relation100031921.
- Shrinking_space type Set107999699.
- Shrinking_space type Space100028651.
- Shrinking_space type TopologicalSpaces.
- Shrinking_space comment "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.The following facts are known about shrinking spaces: Every shrinking space is normal. Every shrinking space is countably paracompact.".
- Shrinking_space label "Shrinking space".
- Shrinking_space label "فضاء منكمش".
- Shrinking_space sameAs m.0d1mfx.
- Shrinking_space sameAs Q7504155.
- Shrinking_space sameAs Q7504155.
- Shrinking_space sameAs Shrinking_space.
- Shrinking_space wasDerivedFrom Shrinking_space?oldid=475319935.
- Shrinking_space isPrimaryTopicOf Shrinking_space.