Information om | Engelska ordet Σ-COMPACT

Exempel på hur man kan använda Σ-COMPACT i en mening

• The two definitions are equivalent for many well-behaved spaces, including all Hausdorff σ-compact spaces, but can be different in more pathological spaces.
• Open mapping theorem (topological groups), states that a surjective continuous homomorphism of a locally compact Hausdorff group G onto a locally compact Hausdorff group H is an open mapping if G is σ-compact.
• In mathematics, a topological space is said to be σ-compact if it is the union of countably many compact subspaces.
• Every σ-compact space (the union of countably many compact spaces) is a Lindelöf space (every open cover has a countable subcover).

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