{"id":741,"date":"2015-01-21T12:18:27","date_gmt":"2015-01-21T17:18:27","guid":{"rendered":"http:\/\/math.cos.ucf.edu\/~zheliu\/?page_id=741"},"modified":"2015-01-21T12:18:27","modified_gmt":"2015-01-21T17:18:27","slug":"teachingmtg4302spring2015homework","status":"publish","type":"page","link":"https:\/\/sciences.ucf.edu\/math\/zheliu\/teaching\/teachingmtg4302spring2015homework\/","title":{"rendered":""},"content":{"rendered":"<p><b><span style=\"font-size: large\">Introduction to Topology<\/span><\/b><\/p>\n<p><span style=\"color: blue\"><b>Homework 1<\/b><\/span><\/p>\n<p>Part I: Prove Theorems 1.2, 1.4, 1.5, 1.9.<br \/>\nPart II: Section 1.1 Exercises # 1(d), 2, 3, 4, 6, 7.<\/p>\n<p><span style=\"color: blue\"><b>Homework 2<\/b><\/span><\/p>\n<p>Part I: Prove Theorems 2.3, 2.4.<br \/>\nPart II: Section 1.2 Exercises # 7(a). Section 1.3 Exercises # 1(a,b).<\/p>\n<p><span style=\"color: blue\"><b>Homework 3<\/b><\/span><\/p>\n<p>Part I: Prove Theorem 4.2.<br \/>\nPart II: Section 1.4 Exercises # 1, 3. Section 1.5 Exercises # 3.<\/p>\n<p><span style=\"color: blue\"><b>Homework 4<\/b><\/span><\/p>\n<p>Part I: Prove Theorem 6.1.<br \/>\nPart II: Section 1.6 Exercises # 5, 6, 7(Just prove the image of f is a compact subset of Y.), 8. Section 2.1 Exercises # 1, 2, 5, 7, 8.<\/p>\n<p><span style=\"color: blue\"><b>Homework 5<\/b><\/span><\/p>\n<p>Part I: Prove Theorems 2.2, 3.3.<br \/>\nPart II: Section 2.2 Exercises # 3. Section 2.3 Exercises # 2. Section 2.4 Exercises # 3.<\/p>\n<p><span style=\"color: blue\"><b>Homework 6<\/b><\/span><\/p>\n<p>Part I: Prove Theorem 5.1, Lemma 6.3.<br \/>\nPart II: Section 2.5 Exercises # 1.<\/p>\n<p><span style=\"color: blue\"><b>Homework 7<\/b><\/span><\/p>\n<p>Part I: Prove Theorems 8.1, 8.2, 9.2, 10.5.<br \/>\nPart II:\u00a0Section 2.9 Exercises # 1, 3 (replace &#8220;a map&#8221; by &#8220;continuous&#8221;).<\/p>\n<p><span style=\"color: blue\"><b>Homework 8<\/b><\/span><\/p>\n<p>Part I: Prove Theorems 13.2, 13.3.<br \/>\nPart II:\u00a0Section 2.13 Exercises # 1.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Introduction to Topology Homework 1 Part I: Prove Theorems 1.2, 1.4, 1.5, 1.9. Part II: Section 1.1 Exercises # 1(d), 2, 3, 4, 6, 7. Homework 2 Part I: Prove Theorems 2.3, 2.4. Part II: Section 1.2 Exercises # 7(a). Section 1.3 Exercises # 1(a,b). Homework 3 Part I: Prove Theorem 4.2. Part II: Section &hellip; <a href=\"https:\/\/sciences.ucf.edu\/math\/zheliu\/teaching\/teachingmtg4302spring2015homework\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\"><\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":18,"featured_media":0,"parent":102,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":"","_links_to":"","_links_to_target":""},"class_list":["post-741","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/sciences.ucf.edu\/math\/zheliu\/wp-json\/wp\/v2\/pages\/741","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sciences.ucf.edu\/math\/zheliu\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/sciences.ucf.edu\/math\/zheliu\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/sciences.ucf.edu\/math\/zheliu\/wp-json\/wp\/v2\/users\/18"}],"replies":[{"embeddable":true,"href":"https:\/\/sciences.ucf.edu\/math\/zheliu\/wp-json\/wp\/v2\/comments?post=741"}],"version-history":[{"count":0,"href":"https:\/\/sciences.ucf.edu\/math\/zheliu\/wp-json\/wp\/v2\/pages\/741\/revisions"}],"up":[{"embeddable":true,"href":"https:\/\/sciences.ucf.edu\/math\/zheliu\/wp-json\/wp\/v2\/pages\/102"}],"wp:attachment":[{"href":"https:\/\/sciences.ucf.edu\/math\/zheliu\/wp-json\/wp\/v2\/media?parent=741"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}