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	<id>https://en.formulasearchengine.com/w/index.php?action=history&amp;feed=atom&amp;title=Topological_vector_space</id>
	<title>Topological vector space - Revision history</title>
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	<updated>2026-07-09T09:22:47Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://en.formulasearchengine.com/w/index.php?title=Topological_vector_space&amp;diff=222286&amp;oldid=prev</id>
		<title>124.225.90.231: Changed error. Rudin requires the spaces to have the stronger T1 property, cf. p. 7 in the work cited: &quot;... every point of X is a closed set...&quot;</title>
		<link rel="alternate" type="text/html" href="https://en.formulasearchengine.com/w/index.php?title=Topological_vector_space&amp;diff=222286&amp;oldid=prev"/>
		<updated>2014-02-13T14:14:31Z</updated>

		<summary type="html">&lt;p&gt;Changed error. Rudin requires the spaces to have the stronger T1 property, cf. p. 7 in the work cited: &amp;quot;... every point of X is a closed set...&amp;quot;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw-interface=&quot;&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 16:14, 13 February 2014&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;The former [http://en.Wiktionary.org/wiki/Nike+air Nike air] cushion was formed in a resilient synthetic rubber layer  [http://www.futurecol.co.nz/assets/cheap-nike.asp nike air max nz] which formed by pouring the   [http://www.futurecol.co.nz/assets/cheap-nike.asp nike air max nz] air   [http://www.futurecol.co.nz/assets/cheap-nike.asp nike nz] gas into a resilient synthetic rubber under a high pressure.&amp;lt;br&amp;gt;[http://www.tumblr.com/tagged/Air-Sole Air-Sole] was belong to the &quot;modest&#039; kind, because its modest performance in cushioning ability, stability performance and reaction speed performance. Until today, this air cushion is in a wide application range among the series sports.&amp;lt;br&amp;gt;Visible Air-Sole: This kind of air cushion was made the Air-Sole into a visible type, such as the heel portion of the AIR JORDAN 3 was used this visible Air-Sole. Being regarded as the transitional form between Air-Sole and Max Air, Visible 180 Air-Sole can perform a good damping force and a perfect visible impact.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;Air Max was launched in 1994, with an initial form of the U-shaped, and then developed into multi-sealed chamber Air Max and the trachea-shaped Tube Max Air. It possessed a multi-interval which was in multiple pressures, with a 5PSI pressure in the low pressure zone and 25PSI pressure in the high pressure zone. Air Max cushioning ability was very strong&lt;/del&gt;, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;can provide appropriateness protection &lt;/del&gt;to &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;your feet and your knees&lt;/del&gt;, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;but may cause the loss of machine power. Running shoes &lt;/del&gt;and &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;basketball shoes were always adopted this kind of technology.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;The only 4-8mm thickness air cushion-Zoom Air was an air cushion by using a three-dimensional fabric to keep its flat shape, &lt;/del&gt;and &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;not it would turn to a ball shape, with the air pressure of 20PSI&lt;/del&gt;. &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;The damping effect with an excellent sense of site sensitive rebound effect and excellent acceleration, Zoom Air was widely used in extensive outside basketball shoes (such as FLIGHT series, the AJ series), and speed &lt;/del&gt;of &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;running shoes (such as Air zoom Miler). The external Zoom Air cushion was not perfect in its damping ability, its capacity was also increased&lt;/del&gt;.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Turnes Air cushion was a hemisphere-shape cushioning system which can provide a maximum force protection, stable and comfort foot feeling, the most eye-catching place was that its variable hemisphere-shape shoe body can changing the air pressure according to its demand&lt;/del&gt;. &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;TN Air contained the PBAX thermoplastic material which can provide a fast reflection, rubbing, and lightweight, flexible and suitable feet feeling for the appropriate thickness characteristics, its hemispheric body pressure was 20PSI and the cushion pressure was 5PSI&lt;/del&gt;.&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;The Total Air cushion can be seen as the enlarged version of the Max Air, with its forefoot grow to &lt;/del&gt;1&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;.5 cm. The most successful Total Air Cushion was the Total Air Foamposite Max-Steel.&amp;lt;br&amp;gt;The mid-sole mechanical cushioning system was composed by the special highly elastic foam materials (advanced PU materials) damping elastic column, and double TPU trays. SHOX used in the basketball and running shoes were with different roles. The SHOX cushion (people who are under 70kg are not obvious) provided excellent cushioning effect and stability, which was widely use in all kinds of sports shoes. The simplified version of SHOX-the IMPAX changed the columnar bottom into a horizontal punch technology to perform an excellent damping and stability performance.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;Nike developed IPS system which an provide relatively independent and organic complexes cylindrical shock absorber for the research and development of Air Jordan XX shoes, under the help of 20 pieces Phylon material with different density, thickness, size and location.&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;53 yrs old Customer Company Manager Doyle Cloyd from Delta&lt;/ins&gt;, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;likes &lt;/ins&gt;to &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;spend some time kit cars&lt;/ins&gt;, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;health &lt;/ins&gt;and &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;fitness &lt;/ins&gt;and &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;warhammer&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Discovered some lovely places after working 6 days at Three Parallel Rivers &lt;/ins&gt;of &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Yunnan Protected Areas&lt;/ins&gt;.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Also visit my web page: [http://vccbay&lt;/ins&gt;.&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;com/item&lt;/ins&gt;.&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;php?id=26437&amp;amp;mode=&lt;/ins&gt;1 &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;worlds best Weight Gainer]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>124.225.90.231</name></author>
	</entry>
	<entry>
		<id>https://en.formulasearchengine.com/w/index.php?title=Topological_vector_space&amp;diff=222285&amp;oldid=prev</id>
		<title>128.84.125.84: Undid revision 508964200 by 128.84.125.84 (talk) Discrete space will not make scalar mult. continuous.</title>
		<link rel="alternate" type="text/html" href="https://en.formulasearchengine.com/w/index.php?title=Topological_vector_space&amp;diff=222285&amp;oldid=prev"/>
		<updated>2012-08-24T17:46:45Z</updated>

		<summary type="html">&lt;p&gt;Undid revision 508964200 by &lt;a href=&quot;/wiki/Special:Contributions/128.84.125.84&quot; title=&quot;Special:Contributions/128.84.125.84&quot;&gt;128.84.125.84&lt;/a&gt; (&lt;a href=&quot;/w/index.php?title=User_talk:128.84.125.84&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;User talk:128.84.125.84 (page does not exist)&quot;&gt;talk&lt;/a&gt;) Discrete space will not make scalar mult. continuous.&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;The former [http://en.Wiktionary.org/wiki/Nike+air Nike air] cushion was formed in a resilient synthetic rubber layer  [http://www.futurecol.co.nz/assets/cheap-nike.asp nike air max nz] which formed by pouring the   [http://www.futurecol.co.nz/assets/cheap-nike.asp nike air max nz] air   [http://www.futurecol.co.nz/assets/cheap-nike.asp nike nz] gas into a resilient synthetic rubber under a high pressure.&amp;lt;br&amp;gt;[http://www.tumblr.com/tagged/Air-Sole Air-Sole] was belong to the &amp;quot;modest&amp;#039; kind, because its modest performance in cushioning ability, stability performance and reaction speed performance. Until today, this air cushion is in a wide application range among the series sports.&amp;lt;br&amp;gt;Visible Air-Sole: This kind of air cushion was made the Air-Sole into a visible type, such as the heel portion of the AIR JORDAN 3 was used this visible Air-Sole. Being regarded as the transitional form between Air-Sole and Max Air, Visible 180 Air-Sole can perform a good damping force and a perfect visible impact.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;Air Max was launched in 1994, with an initial form of the U-shaped, and then developed into multi-sealed chamber Air Max and the trachea-shaped Tube Max Air. It possessed a multi-interval which was in multiple pressures, with a 5PSI pressure in the low pressure zone and 25PSI pressure in the high pressure zone. Air Max cushioning ability was very strong, can provide appropriateness protection to your feet and your knees, but may cause the loss of machine power. Running shoes and basketball shoes were always adopted this kind of technology.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;The only 4-8mm thickness air cushion-Zoom Air was an air cushion by using a three-dimensional fabric to keep its flat shape, and not it would turn to a ball shape, with the air pressure of 20PSI. The damping effect with an excellent sense of site sensitive rebound effect and excellent acceleration, Zoom Air was widely used in extensive outside basketball shoes (such as FLIGHT series, the AJ series), and speed of running shoes (such as Air zoom Miler). The external Zoom Air cushion was not perfect in its damping ability, its capacity was also increased.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;Turnes Air cushion was a hemisphere-shape cushioning system which can provide a maximum force protection, stable and comfort foot feeling, the most eye-catching place was that its variable hemisphere-shape shoe body can changing the air pressure according to its demand. TN Air contained the PBAX thermoplastic material which can provide a fast reflection, rubbing, and lightweight, flexible and suitable feet feeling for the appropriate thickness characteristics, its hemispheric body pressure was 20PSI and the cushion pressure was 5PSI.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;The Total Air cushion can be seen as the enlarged version of the Max Air, with its forefoot grow to 1.5 cm. The most successful Total Air Cushion was the Total Air Foamposite Max-Steel.&amp;lt;br&amp;gt;The mid-sole mechanical cushioning system was composed by the special highly elastic foam materials (advanced PU materials) damping elastic column, and double TPU trays. SHOX used in the basketball and running shoes were with different roles. The SHOX cushion (people who are under 70kg are not obvious) provided excellent cushioning effect and stability, which was widely use in all kinds of sports shoes. The simplified version of SHOX-the IMPAX changed the columnar bottom into a horizontal punch technology to perform an excellent damping and stability performance.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;Nike developed IPS system which an provide relatively independent and organic complexes cylindrical shock absorber for the research and development of Air Jordan XX shoes, under the help of 20 pieces Phylon material with different density, thickness, size and location.&lt;/div&gt;</summary>
		<author><name>128.84.125.84</name></author>
	</entry>
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