Definition of Paracompact. Meaning of Paracompact. Synonyms of Paracompact

Here you will find one or more explanations in English for the word Paracompact. Also in the bottom left of the page several parts of wikipedia pages related to the word Paracompact and, of course, Paracompact synonyms and on the right images related to the word Paracompact.

Definition of Paracompact

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Meaning of Paracompact from wikipedia

- (1944). Every compact space is paracompact. Every paracompact Hausdorff space is normal, and a Hausdorff space is paracompact if and only if it admits partitions...
- 3-dimensional hyperbolic space there are 23 Coxeter group families of paracompact uniform honeycombs, generated as Wythoff constructions, and represented...
- 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...
- compact, or even Lindelöf. The (non-extended) long line or ray is not paracompact. It is path-connected, locally path-connected and simply connected but...
- topological manifolds. In particular, many authors define them to be paracompact or second-countable. In the remainder of this article a manifold will...
- topology is a topological space ****ociated to a vector bundle, over any paracompact space. One way to construct this space is as follows. Let p : E → B {\displaystyle...
- the above examples, all paracompact Hausdorff spaces are normal, and all paracompact regular spaces are normal; All paracompact topological manifolds are...
- topological properties from metric spaces. For example, they are Hausdorff paracompact spaces (and hence normal and Tychonoff) and first-countable. However...
- functions over a smooth (paracompact Hausdorff) manifold, or modules over these sheaves of rings. Also, fine sheaves over paracompact Hausdorff spaces are...
- are 15 hyperbolic honeycombs in H3, 4 compact and 11 paracompact. There are also 11 paracompact H3 honeycombs (those with infinite (Euclidean) cells and/or...