compact space (redirected fromCompactness (topology)) compact space [¦käm‚pakt′spās] (mathematics) Atopologicalspacewhichis acompactset. McGraw-HillDictionaryofScientific&TechnicalTerms,6E,Copyright©2003byTheMcGraw-HillCompanies,Inc.
More From Britannica topology: History of topology Continuous functions on a compact set have the important properties of possessing maximum and minimum values and being approximated to any desired precision by properly chosen polynomial series, Fourier series, or various other classes of functions as...
L-topologyßà-coverSß-compactnessß-cluster pointIn this paper, the notion of S-compactness is introduced in Ltopological spaces by means of open 脿-cover. It is a generalization of Lowen's strong compactness, but it is different from Wang's strong compactness. Ultra-compactness implies...
Compactnessis one of the most important concepts in point-set topology. However when you first come across it it might not necessarily be obvious why.Paul Crowleyasked me yesterday to do a follow-up post to my one aboutcontinuous functionsto explain compactness, so I spent some time this morn...
- topology, compactness is a property that s***s to generalize the notion of a closed and bounded subset of Euclidean space. The idea is that a compact space...- Look up compact in Wiktionary, the free dictionary. Compact as used in politics may refer broadly to a pact or treaty; in...
L-topologysemi-pre-open βa-coversemi-pre-open strong βa-coverstrong-III Nβ-compactnessAlgebraEducational institutionsIn this paper, by means of semi-pre-open strong β-compactness is equivalent to SP-compactness.自动化与计算机He, XiaodanBai, ShizhongHe, XiaodanBai, Shizhong...
A General Topology Workbook Iain T. Adamson 1010 Accesses Abstract Let E be a set, A a subset of E. A cover of A is a family of subsets of E whose union includes A; a subcover of a cover of A is a subfamily which is also a cover of A. If (E, T) is a topological space...
Topics in Fuzzy Topology Baiju T,Sunil Jacob John - LAP LAMBERT Acade... - 2012 - 被引量: 0 A note on gradation of RS-compactness and S*-closed spaces in L-topological spaces A. Haydar E¸s - LAP LAMBERT Acade.....
Alan D. Sokal and Jean Bricmont in their book Fashionable Nonsense have criticised Lacan's use of terms from mathematical fields such as topology, accusing him of "superficial erudition" and of abusing scientific concepts that he does not understand.[76] Other critics have dismissed Lac...
此文先对point set topology里的connetedness和compactness做一个回顾,然后重点讲讲local compactness and paracompactness (局紧和仿紧),因为这些在manifold上经常会涉及。 Connectedness connected space Defn. Let A and B be two sets in the topological space X. If (A∩B¯)∪(B∩A¯)=∅, we say...