Feebly compact space

Feebly compact space

In mathematics, in the realm of topology, a topological space is said to be feebly compact if every locally finite cover by nonempty open sets is finite.

Some facts:

* Every compact space is feebly compact.
* Every feebly compact paracompact space is compact.
* Every feebly compact space is pseducompact but the converse is not necessarily true.
* For a completely regular Hausdorff space the properties of being feebly compact and pseudocompact are equivalent.
* Any maximal feebly compact space is submaximal.


Wikimedia Foundation. 2010.

Игры ⚽ Нужен реферат?

Look at other dictionaries:

  • List of mathematics articles (F) — NOTOC F F₄ F algebra F coalgebra F distribution F divergence Fσ set F space F test F theory F. and M. Riesz theorem F1 Score Faà di Bruno s formula Face (geometry) Face configuration Face diagonal Facet (mathematics) Facetting… …   Wikipedia

  • rare-earth element — /rair errth /, Chem. any of a group of closely related metallic elements, comprising the lanthanides, scandium, and yttrium, that are chemically similar by virtue of having the same number of valence electrons. Also called rare earth metal. [1955 …   Universalium

  • Western sculpture — ▪ art Introduction       three dimensional artistic forms produced in what is now Europe and later in non European areas dominated by European culture (such as North America) from the Metal Ages (Europe, history of) to the present.       Like… …   Universalium

  • Italy — /it l ee/, n. a republic in S Europe, comprising a peninsula S of the Alps, and Sicily, Sardinia, Elba, and other smaller islands: a kingdom 1870 1946. 57,534,088; 116,294 sq. mi. (301,200 sq. km). Cap.: Rome. Italian, Italia. * * * Italy… …   Universalium

  • Astronomy — • Divided into two main branches, astrometry and astrophysics; the former concerned with determining the places of the investigation of the heavenly bodies, the latter, with the investigation of their chemical and physical nature Catholic… …   Catholic encyclopedia

  • Symphony No. 5 (Nielsen) — The Symphony No. 5 (Op. 50, FS 97) by Danish composer Carl Nielsen was completed on 15 January 1922 and first performed in Copenhagen on 24 January 1922 with the composer conducting. It is one of two of Nielsen s six symphonies lacking a subtitle …   Wikipedia

  • little — Synonyms and related words: Lilliputian, a bit, a breath, a little, abject, abominable, ace, arrant, atom, atrocious, authoritarian, baby, back burner, bantam, barely, base, beggarly, bigot, bigoted, bit, borne, bowshot, brief, brief span, by a… …   Moby Thesaurus

  • Lime mortar — is a type of mortar. It was used in the construction of the vast majority of brick and stone buildings worldwide from ancient times until the widespread adoption of Portland cement in the late nineteenth century. It is still used today, for the… …   Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”