Received: from [192.168.123.254] (port=37716 helo=jukni.digitalkingdom.org) by stodi.digitalkingdom.org with smtp (Exim 4.92) (envelope-from ) id 1hLtz9-0006WA-90 for jbovlaste-admin@lojban.org; Wed, 01 May 2019 11:29:41 -0700 Received: by jukni.digitalkingdom.org (sSMTP sendmail emulation); Wed, 01 May 2019 11:29:39 -0700 From: "Apache" To: curtis289@att.net Reply-To: webmaster@lojban.org Subject: [jvsw] Definition Edited At Word sezrurkle -- By krtisfranks Date: Wed, 1 May 2019 11:29:39 -0700 MIME-Version: 1.0 Content-Type: text/plain; charset="UTF-8" Message-Id: X-Spam-Score: -2.9 (--) X-Spam_score: -2.9 X-Spam_score_int: -28 X-Spam_bar: -- In jbovlaste, the user krtisfranks has edited a definition of "sezrurkle" in the language "English". Differences: 2,2c2,2 < $x_1$ (metric space/set/class/structure) is a metric subspace/subset(/subclass) of $x_2$ (metric space/set/class) which is open therein. $x_1$ is an open subset of $x_2$, where openness is taken to be understood as being considered within $x_2$ and under the metric shared by $x_1$ and $x_2$ --- > $x_1$ is an open set in the topological space $x_2$. 5,5c5,5 < In $x_2$, $x_1$ is composed entirely of members which are interior points. Confer: {sezbarkle}. --- > $x_2$ is conceptually composed of an underlying set, which is a superset of $x_1$, and topological information/defining information; however, it can also be expressed as a set of the subsets of the said underlying (implicitly define) set. Confer: "{sezbarkle}". 11,12c11,12 < Word: open, In Sense: metric space/set; composed of interior points < Word: open set, In Sense: metric space/set; composed of interior points --- > Word: open, In Sense: topology > Word: open set, In Sense: topology Old Data: Definition: $x_1$ (metric space/set/class/structure) is a metric subspace/subset(/subclass) of $x_2$ (metric space/set/class) which is open therein. $x_1$ is an open subset of $x_2$, where openness is taken to be understood as being considered within $x_2$ and under the metric shared by $x_1$ and $x_2$ Notes: In $x_2$, $x_1$ is composed entirely of members which are interior points. Confer: {sezbarkle}. Jargon: Math Gloss Keywords: Word: open, In Sense: metric space/set; composed of interior points Word: open set, In Sense: metric space/set; composed of interior points Place Keywords: New Data: Definition: $x_1$ is an open set in the topological space $x_2$. Notes: $x_2$ is conceptually composed of an underlying set, which is a superset of $x_1$, and topological information/defining information; however, it can also be expressed as a set of the subsets of the said underlying (implicitly define) set. Confer: "{sezbarkle}". Jargon: Math Gloss Keywords: Word: open, In Sense: topology Word: open set, In Sense: topology Place Keywords: You can go to to see it.