{"id":237,"date":"2023-06-12T12:02:38","date_gmt":"2023-06-12T19:02:38","guid":{"rendered":"https:\/\/blogs.ubc.ca\/paultsopmene\/?page_id=237"},"modified":"2023-06-24T11:17:35","modified_gmt":"2023-06-24T18:17:35","slug":"math-442-842-algebraic-topology-winter-2017-university-of-regina","status":"publish","type":"page","link":"https:\/\/blogs.ubc.ca\/paultsopmene\/teaching\/math-442-842-algebraic-topology-winter-2017-university-of-regina\/","title":{"rendered":"MATH 442\/842 &#8211; Algebraic Topology | Winter 2017 | University of Regina"},"content":{"rendered":"<p><strong>General Information:<\/strong><\/p>\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li><strong>Lectures:<\/strong> MWF 1:30 pm &#8211; 2:20 pm in CW 307.14.3<\/li>\n<li><strong>Instructor:<\/strong> Paul Arnaud Songhafouo Tsopmene, Office: CW 307.26, Phone: 306-585-4422, Email: pso748@uregina.ca<\/li>\n<li><strong>Office Hours:<\/strong> W 11:00 am &#8211; 12:30 pm or by appointment.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><strong>Course Description:<\/strong> A course intended to introduce students to algebraic topology.<br \/>\nTopics include the fundamental groups, homology, and cohomology groups of topological\u00a0spaces.<\/p>\n<p><strong>Textbook:<\/strong> \u00a0<em>Algebraic Topology<\/em>, by Allen Hatcher. This is free and available <a href=\"http:\/\/pi.math.cornell.edu\/~hatcher\/AT\/ATpage.html\" rel=\"noopener\">here<\/a>.<\/p>\n<p><strong>Content:<\/strong> Topics include<\/p>\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li><strong>Homotopy Type<\/strong>: Definition and Examples, Contractible Spaces.<\/li>\n<li><strong>The Fundamental Group:<\/strong> Paths, Homotopy of Paths, Loops and Definition of the Fundamental Group, The Fundamental Group of the Circle, Induced Homomorphism, Applications of the Fundamental Group, The Van Kampen Theorem.<\/li>\n<li><strong>Homology:<\/strong> Chain Complexes, Simplicial Homology, Singular Homology, Applications.<\/li>\n<li><strong>Cohomology (if time permits): <\/strong>Cohomology Groups, Cup Product.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><strong>Prerequisite:<\/strong> MATH 441, or approval of the department chair.<\/p>\n<p><strong>Course Outline\/Syllabus:<\/strong> More information about this course can be found in the <a href=\"http:\/\/blogs.ubc.ca\/paultsopmene\/files\/2023\/06\/MATH842_Course-Outline_Winter-2017_UofR.pdf\" rel=\"noopener\">course outline<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>General Information: Lectures: MWF 1:30 pm &#8211; 2:20 pm in CW 307.14.3 Instructor: Paul Arnaud Songhafouo Tsopmene, Office: CW 307.26, Phone: 306-585-4422, Email: pso748@uregina.ca Office Hours: W 11:00 am &#8211; 12:30 pm or by appointment. Course Description: A course intended to introduce students to algebraic topology. Topics include the fundamental groups, homology, and cohomology groups &hellip; <a href=\"https:\/\/blogs.ubc.ca\/paultsopmene\/teaching\/math-442-842-algebraic-topology-winter-2017-university-of-regina\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;MATH 442\/842 &#8211; Algebraic Topology | Winter 2017 | University of Regina&#8221;<\/span><\/a><\/p>\n","protected":false},"author":91852,"featured_media":0,"parent":7,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-237","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/blogs.ubc.ca\/paultsopmene\/wp-json\/wp\/v2\/pages\/237","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.ubc.ca\/paultsopmene\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/blogs.ubc.ca\/paultsopmene\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.ubc.ca\/paultsopmene\/wp-json\/wp\/v2\/users\/91852"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.ubc.ca\/paultsopmene\/wp-json\/wp\/v2\/comments?post=237"}],"version-history":[{"count":6,"href":"https:\/\/blogs.ubc.ca\/paultsopmene\/wp-json\/wp\/v2\/pages\/237\/revisions"}],"predecessor-version":[{"id":425,"href":"https:\/\/blogs.ubc.ca\/paultsopmene\/wp-json\/wp\/v2\/pages\/237\/revisions\/425"}],"up":[{"embeddable":true,"href":"https:\/\/blogs.ubc.ca\/paultsopmene\/wp-json\/wp\/v2\/pages\/7"}],"wp:attachment":[{"href":"https:\/\/blogs.ubc.ca\/paultsopmene\/wp-json\/wp\/v2\/media?parent=237"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}