{"id":74,"date":"2013-10-02T20:11:49","date_gmt":"2013-10-02T20:11:49","guid":{"rendered":"https:\/\/pdhorn.expressions.syr.edu\/fall2013mat661\/?p=74"},"modified":"2013-10-02T20:11:57","modified_gmt":"2013-10-02T20:11:57","slug":"homework-6","status":"publish","type":"post","link":"https:\/\/pdhorn.expressions.syr.edu\/fall2013mat661\/2013\/10\/02\/homework-6\/","title":{"rendered":"Homework 6"},"content":{"rendered":"<p>Due Wednesday, October 9<\/p>\n<p>* denoted recommended (not graded) problems<\/p>\n<p>A. Let \\(X\\) be the subset of \\(\\mathbb{R}^2\\): \\(X = \\{[0,1] \\times 0\\} \\cup \\{1\/n \\times [0,1]: n\\in\\mathbb{Z}_+\\}\\cup \\{0\\times[0,1]\\}\\).  Show that \\(X\\) is connected and path-connected, but neither locally connected nor locally path-connected.<\/p>\n<p>Section 23 problems 1*, 2*, 3*, 8 and 9<br \/>\nSection 24 problems 1*, 2, 3, and 8*<br \/>\nSection 25 problems 3*, 4*, 7*, and 8<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Due Wednesday, October 9 * denoted recommended (not graded) problems A. Let \\(X\\) be the subset of \\(\\mathbb{R}^2\\): \\(X = \\{[0,1] \\times 0\\} \\cup \\{1\/n \\times [0,1]: n\\in\\mathbb{Z}_+\\}\\cup \\{0\\times[0,1]\\}\\). Show that \\(X\\) is connected and path-connected, but neither locally connected nor locally path-connected. Section 23 problems 1*, 2*, 3*, 8 and 9 Section 24 problems [&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\/74"}],"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=74"}],"version-history":[{"count":4,"href":"https:\/\/pdhorn.expressions.syr.edu\/fall2013mat661\/wp-json\/wp\/v2\/posts\/74\/revisions"}],"predecessor-version":[{"id":78,"href":"https:\/\/pdhorn.expressions.syr.edu\/fall2013mat661\/wp-json\/wp\/v2\/posts\/74\/revisions\/78"}],"wp:attachment":[{"href":"https:\/\/pdhorn.expressions.syr.edu\/fall2013mat661\/wp-json\/wp\/v2\/media?parent=74"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/pdhorn.expressions.syr.edu\/fall2013mat661\/wp-json\/wp\/v2\/categories?post=74"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/pdhorn.expressions.syr.edu\/fall2013mat661\/wp-json\/wp\/v2\/tags?post=74"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}