### Some articles on *paracompact hausdorff, hausdorff, paracompact*:

Paracompact Space -

... An

**Paracompact Hausdorff**Spaces - Partitions of Unity - Proof That**Paracompact Hausdorff**Spaces Admit Partitions of Unity... An

**hausdorff**space is**paracompact**if and only if it every open cover admits a subordinate partition of unity ... Theorem In a**paracompact hausdorff**space, if is an open cover, then there exists a partition of unity subordinate to it ... One can check as an exercise that this provides an open refinement, since**paracompact hausdorff**spaces are regular, and since is locally finite ...Injective Sheaf - Fine Sheaves

... Fine sheaves are usually only used over

... Fine sheaves are usually only used over

**paracompact Hausdorff**spaces X ... continuous real functions over such a space, or smooth functions over a smooth (**paracompact Hausdorff**) manifold, or modules over these sheaves of rings ... Fine sheaves over**paracompact Hausdorff**spaces are soft and acyclic ...Main Site Subjects

Related Phrases

Related Words