Turn in 3 problems from the ones below.<\/p>\n
Disclaimer: You should do all of the suggested problems on your own, and I will assume that you do. I would recommend (for the midterm, final, and qualifying exams) that you do many other problems. I am available for help.<\/p>\n
Due Suggested problems:<\/p>\n Hatcher p 131 section 2.1 problems 1 – 10.<\/p>\n A. Recall the \\(\\Delta\\)-complex structure we put on \\(T^2\\), which was a subdivision of the usual CW-structure on the torus. Prove the topology on the torus coming from the \\(\\Delta\\)-structure is equivalent to the usual topology on the torus. Use the fourth axiom of \\(\\Delta\\)-complexes.<\/p>\n B. In class February 25, I gave a \\(\\Delta\\)-structure on the nonorientable surface \\(N_2\\). (This is homeomorphic to the Klein bottle). Use it to compute the simplicial homology groups of \\(N_2\\).<\/p>\n C. On p 102, Hatcher gives a \\(\\Delta\\)-structure on the orientable surface \\(M_2\\). (It’s the picture with labels \\(a,b,c,d\\)). Compute the simplicial homology groups of \\(M_2\\). <\/p>\n","protected":false},"excerpt":{"rendered":" Turn in 3 problems from the ones below. Disclaimer: You should do all of the suggested problems on your own, and I will assume that you do. I would recommend (for the midterm, final, and qualifying exams) that you do many other problems. I am available for help. Due Wednesday, March 4 Friday, March 6. […]<\/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\/spring2015mat761\/wp-json\/wp\/v2\/posts\/72"}],"collection":[{"href":"https:\/\/pdhorn.expressions.syr.edu\/spring2015mat761\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/pdhorn.expressions.syr.edu\/spring2015mat761\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/pdhorn.expressions.syr.edu\/spring2015mat761\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/pdhorn.expressions.syr.edu\/spring2015mat761\/wp-json\/wp\/v2\/comments?post=72"}],"version-history":[{"count":3,"href":"https:\/\/pdhorn.expressions.syr.edu\/spring2015mat761\/wp-json\/wp\/v2\/posts\/72\/revisions"}],"predecessor-version":[{"id":76,"href":"https:\/\/pdhorn.expressions.syr.edu\/spring2015mat761\/wp-json\/wp\/v2\/posts\/72\/revisions\/76"}],"wp:attachment":[{"href":"https:\/\/pdhorn.expressions.syr.edu\/spring2015mat761\/wp-json\/wp\/v2\/media?parent=72"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/pdhorn.expressions.syr.edu\/spring2015mat761\/wp-json\/wp\/v2\/categories?post=72"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/pdhorn.expressions.syr.edu\/spring2015mat761\/wp-json\/wp\/v2\/tags?post=72"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Wednesday, March 4<\/del> Friday, March 6.<\/p>\n