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- In [[general topology]], the '''subspace topology''', or '''induced''' or '''relative''' topology, is the assignment of open ...'T'' the family of [[open set]]s, and let ''A'' be a subset of ''X''. The subspace topology on ''A'' is the family814 bytes (118 words) - 13:51, 7 February 2009
- 12 bytes (1 word) - 13:50, 7 February 2009
- | pagename = subspace topology | abc = subspace topology2 KB (226 words) - 09:33, 15 March 2024
- 99 bytes (15 words) - 19:58, 4 September 2009
- Auto-populated based on [[Special:WhatLinksHere/Subspace topology]]. Needs checking by a human.482 bytes (62 words) - 20:41, 11 January 2010
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- In [[general topology]], the '''subspace topology''', or '''induced''' or '''relative''' topology, is the assignment of open ...'T'' the family of [[open set]]s, and let ''A'' be a subset of ''X''. The subspace topology on ''A'' is the family814 bytes (118 words) - 13:51, 7 February 2009
- | pagename = subspace topology | abc = subspace topology2 KB (226 words) - 09:33, 15 March 2024
- ...t of a topological space is compact if it is compact with respect to the [[subspace topology]]. * A subset of a [[Hausdorff space]] which is compact (with the [[subspace topology]]) is closed.4 KB (652 words) - 14:44, 30 December 2008
- Auto-populated based on [[Special:WhatLinksHere/Subspace topology]]. Needs checking by a human.482 bytes (62 words) - 20:41, 11 January 2010
- ...he Heine-Borel theorem use on the subset of R^n? I am assuming it uses the subspace topology.<br /> ...sual topology, and every subset of a topological space is endowed with the subspace topology. (Indeed, when you say '2+2=4" you probably do not specify, which binary op4 KB (679 words) - 00:59, 19 October 2010
- {{r|Subspace topology}}1 KB (169 words) - 19:54, 11 January 2010
- {{rpl|Subspace topology}}5 KB (628 words) - 04:35, 22 November 2023
- ...e properties; there is an initial object (the empty set), subobjects (the subspace topology) and quotient objects (the quotient topology), and products and coproducts {{Main|Subspace topology}}15 KB (2,586 words) - 16:07, 4 January 2013
- ...rationals carry an [[order topology]]. The rational numbers also carry a [[subspace topology]]. The rational numbers form a [[metric space]] by using the metric ''d''('9 KB (1,446 words) - 08:52, 30 May 2009