{"id":19,"date":"2013-01-14T13:07:50","date_gmt":"2013-01-14T13:07:50","guid":{"rendered":"https:\/\/pdhorn.expressions.syr.edu\/spring2013mat761\/?p=19"},"modified":"2013-07-16T13:33:15","modified_gmt":"2013-07-16T13:33:15","slug":"homework-1","status":"publish","type":"post","link":"https:\/\/pdhorn.expressions.syr.edu\/spring2013mat761\/2013\/01\/14\/homework-1\/","title":{"rendered":"Homework 1"},"content":{"rendered":"<p>Due Thursday, 24 January, in class.<\/p>\n<p>This assignment consists of problems from Chapter 0 and problem A, below.<\/p>\n<p>p 18: #1,\u00a02 (give a formula for the deformation retraction),\u00a03,\u00a09,\u00a010,\u00a014<\/p>\n<p>A. Let \\( X, Y \\) be CW complexes with \\( A \\) a subcomplex of \\( Y \\). Given a homotopy \\(F: A \\times [0,1] \\to X \\)\u00a0between gluing maps \\( f,g: A \\to X \\), prove that \\( X\\sqcup_F \\left(Y \\times [0,1] \\right) \\) deformation retracts onto \\( X \\sqcup_f Y \\).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Due Thursday, 24 January, in class. This assignment consists of problems from Chapter 0 and problem A, below. p 18: #1,\u00a02 (give a formula for the deformation retraction),\u00a03,\u00a09,\u00a010,\u00a014 A. Let \\( X, Y \\) be CW complexes with \\( A \\) a subcomplex of \\( Y \\). Given a homotopy \\(F: A \\times [0,1] \\to [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[4],"tags":[],"_links":{"self":[{"href":"https:\/\/pdhorn.expressions.syr.edu\/spring2013mat761\/wp-json\/wp\/v2\/posts\/19"}],"collection":[{"href":"https:\/\/pdhorn.expressions.syr.edu\/spring2013mat761\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/pdhorn.expressions.syr.edu\/spring2013mat761\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/pdhorn.expressions.syr.edu\/spring2013mat761\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/pdhorn.expressions.syr.edu\/spring2013mat761\/wp-json\/wp\/v2\/comments?post=19"}],"version-history":[{"count":12,"href":"https:\/\/pdhorn.expressions.syr.edu\/spring2013mat761\/wp-json\/wp\/v2\/posts\/19\/revisions"}],"predecessor-version":[{"id":207,"href":"https:\/\/pdhorn.expressions.syr.edu\/spring2013mat761\/wp-json\/wp\/v2\/posts\/19\/revisions\/207"}],"wp:attachment":[{"href":"https:\/\/pdhorn.expressions.syr.edu\/spring2013mat761\/wp-json\/wp\/v2\/media?parent=19"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/pdhorn.expressions.syr.edu\/spring2013mat761\/wp-json\/wp\/v2\/categories?post=19"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/pdhorn.expressions.syr.edu\/spring2013mat761\/wp-json\/wp\/v2\/tags?post=19"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}