Please turn in the Seifert-van Kampen problems from last week (Section 1.2 # 3, 4, 8, 19).<\/p>\n
In addition, do<\/p>\n
Section 1.3 # 1, 3, and 4a (just the \\(S^2 \\cup \\mathrm{diameter}\\) part).<\/p>\n
and<\/p>\n
A. Think of \\(S^1 = \\{z\\in\\mathbb{C}: |z| = 1 \\} \\). Let \\(p:S^1 \\to S^1\\) be given by \\(p(z) = z^n\\). For any \\(x \\in S^1\\), give an explicit evenly covered neighborhood \\(U\\) of \\(x\\), i.e. \\( p^{-1}(U) = \\sqcup V_a \\) where \\( p|_{V_a} :V_a \\to U\\) is a homeomorphism.<\/p>\n
Think about the following problems, but do turn them in:
\nSection 1.2 # 7, 9, 10, 11, 20.<\/p>\n","protected":false},"excerpt":{"rendered":"
Please turn in the Seifert-van Kampen problems from last week (Section 1.2 # 3, 4, 8, 19). In addition, do Section 1.3 # 1, 3, and 4a (just the \\(S^2 \\cup \\mathrm{diameter}\\) part). and A. Think of \\(S^1 = \\{z\\in\\mathbb{C}: |z| = 1 \\} \\). Let \\(p:S^1 \\to S^1\\) be given by \\(p(z) = z^n\\). […]<\/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\/79"}],"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=79"}],"version-history":[{"count":8,"href":"https:\/\/pdhorn.expressions.syr.edu\/spring2013mat761\/wp-json\/wp\/v2\/posts\/79\/revisions"}],"predecessor-version":[{"id":205,"href":"https:\/\/pdhorn.expressions.syr.edu\/spring2013mat761\/wp-json\/wp\/v2\/posts\/79\/revisions\/205"}],"wp:attachment":[{"href":"https:\/\/pdhorn.expressions.syr.edu\/spring2013mat761\/wp-json\/wp\/v2\/media?parent=79"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/pdhorn.expressions.syr.edu\/spring2013mat761\/wp-json\/wp\/v2\/categories?post=79"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/pdhorn.expressions.syr.edu\/spring2013mat761\/wp-json\/wp\/v2\/tags?post=79"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}