{"id":42,"date":"2013-09-11T20:24:44","date_gmt":"2013-09-11T20:24:44","guid":{"rendered":"https:\/\/pdhorn.expressions.syr.edu\/fall2013mat661\/?p=42"},"modified":"2013-09-17T14:07:19","modified_gmt":"2013-09-17T14:07:19","slug":"homework-3","status":"publish","type":"post","link":"https:\/\/pdhorn.expressions.syr.edu\/fall2013mat661\/2013\/09\/11\/homework-3\/","title":{"rendered":"Homework 3"},"content":{"rendered":"<p>* denotes a suggested problem.  You should know how to complete a * problem, but it will not be graded (so please do not hand it in).<\/p>\n<p>Due Wednesday, September 18<\/p>\n<p>A. Consider \\(\\mathbb{R} \\times \\mathbb{R}\\) with the lexicographical (dictionary) order topology.  (a) What topology does \\(\\mathbb{R}\\times 0\\) inherit as a subspace? (b) What topology does \\(0\\times \\mathbb{R}\\) inherit as a subspace?<\/p>\n<p>Section 16 problem 6<\/p>\n<p>Section 17 problems 3, 4, 6, 8*, 9, 11*, 15* <\/p>\n","protected":false},"excerpt":{"rendered":"<p>* denotes a suggested problem. You should know how to complete a * problem, but it will not be graded (so please do not hand it in). Due Wednesday, September 18 A. Consider \\(\\mathbb{R} \\times \\mathbb{R}\\) with the lexicographical (dictionary) order topology. (a) What topology does \\(\\mathbb{R}\\times 0\\) inherit as a subspace? (b) What topology [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[2],"tags":[],"_links":{"self":[{"href":"https:\/\/pdhorn.expressions.syr.edu\/fall2013mat661\/wp-json\/wp\/v2\/posts\/42"}],"collection":[{"href":"https:\/\/pdhorn.expressions.syr.edu\/fall2013mat661\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/pdhorn.expressions.syr.edu\/fall2013mat661\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/pdhorn.expressions.syr.edu\/fall2013mat661\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/pdhorn.expressions.syr.edu\/fall2013mat661\/wp-json\/wp\/v2\/comments?post=42"}],"version-history":[{"count":8,"href":"https:\/\/pdhorn.expressions.syr.edu\/fall2013mat661\/wp-json\/wp\/v2\/posts\/42\/revisions"}],"predecessor-version":[{"id":51,"href":"https:\/\/pdhorn.expressions.syr.edu\/fall2013mat661\/wp-json\/wp\/v2\/posts\/42\/revisions\/51"}],"wp:attachment":[{"href":"https:\/\/pdhorn.expressions.syr.edu\/fall2013mat661\/wp-json\/wp\/v2\/media?parent=42"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/pdhorn.expressions.syr.edu\/fall2013mat661\/wp-json\/wp\/v2\/categories?post=42"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/pdhorn.expressions.syr.edu\/fall2013mat661\/wp-json\/wp\/v2\/tags?post=42"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}