{"id":1532,"date":"2023-06-01T18:45:59","date_gmt":"2023-06-01T10:45:59","guid":{"rendered":"https:\/\/blog.vanabel.cn\/?p=1532"},"modified":"2023-06-01T18:45:59","modified_gmt":"2023-06-01T10:45:59","slug":"daishutapulimianjianhuaduobianxingdezuotuchengxu","status":"publish","type":"post","link":"https:\/\/blog.vanabel.cn\/?p=1532","title":{"rendered":"\u4ee3\u6570\u62d3\u6251\u91cc\u9762\u7b80\u5316\u591a\u8fb9\u5f62\u7684\u4f5c\u56fe\u7a0b\u5e8f"},"content":{"rendered":"<p>\u5728\u4ee3\u6570\u62d3\u6251\u91cc\uff0c\u6211\u4eec\u5c06\u66f2\u9762\u89c6\u4e3a\u5c06\u591a\u8fb9\u5f62\u7684\u5bf9\u5e94\u8fb9\u7c98\u8d34\u800c\u6210\u7684\u56fe\u5f62\u3002 \u5f53\u7136\u4e00\u4e2a\u91cd\u8981\u7684\u95ee\u9898\uff1a<br \/>\n1. \u5982\u4f55\u5c06\u4e00\u4e2a\u95ed\u66f2\u9762\u4e09\u89d2\u5256\u5206\uff1b<br \/>\n2. \u5982\u4f55\u4ece\u7ed9\u5b9a\u7684\u4e09\u89d2\u5256\u5206\u7c98\u8d34\u6210\u591a\u8fb9\u5f62\uff0c\u4f7f\u5f97\u4e09\u89d2\u5256\u5206\u4e2d\u516c\u5171\u7684\u8fb9\u4f5c\u4e3a\u591a\u8fb9\u5f62\u7684\u5185\u90e8\u7684\u8fb9\u3001\u975e\u516c\u5171\u8fb9\u4f5c\u4e3a\u591a\u8fb9\u5f62\u771f\u6b63\u7684\u8fb9\u3002<br \/>\n\u4e00\u4e2a\u64cd\u4f5c\u8fc7\u7a0b\u53ef\u4ee5\u53c2\u8003[<a href='#Massey1977Algebraic'>1<\/a>,Chap.~1, Sec.~6].<br \/>\n<!--more--><\/p>\n<p>\u8fd9\u91cc\uff0c\u6211\u4eec\u7ed9\u51fa\u5176\u4e2d\u4f8b\u5b507.1\u4e2d\u7684\u4e09\u89d2\u5256\u5206\u6784\u9020\u7b80\u5316\u591a\u8fb9\u5f62\u7684\u4f5c\u56fe\u8fc7\u7a0b\u3002 \u4ee3\u7801\u5982\u4e0b\uff1a<\/p>\n<pre lang=\"latex\">\r\n\r\n\r\n\\begin{mpdefs}\r\n  u:=10pt;\r\n\\end{mpdefs}\r\n\r\n\\begin{mpdisplay}\r\n<\/pre>\n<pre lang=\"metapost\">\r\ninput latexmp;\r\ndef ATdraw(text T)=\r\n  save i_, n, s, edges;\r\n  save poly; path poly;\r\n  numeric n,i_; n=0;\r\n  string s, edges[];\r\n  s=str scantokens(T);\r\n  show s;\r\n  n:=length(s)\/2;\r\n  for i_=0 upto n-1:\r\n    edges[i_+1]=substring(2i_,2i_+2) of s;\r\n    show edges[i_+1];\r\n  endfor;\r\n  poly = for i=0 upto n-1: 80 down rotated (360\/n*i-180\/n) -- endfor cycle;\r\n  string dr,lab;\r\n  for i=1 upto n:\r\n    dr := substring(length(edges[i])-1,length(edges[i])) of edges[i];\r\n    lab := substring(0,length(edges[i])-1) of edges[i];\r\n    show dr;\r\n    show lab;\r\n    if dr=\"1\":\r\n      drawarrow subpath(i-1,i-1\/2) of poly;\r\n      draw subpath(i-1\/2,i) of poly;\r\n    else:\r\n      drawarrow subpath(i,i-1\/2) of poly);\r\n      draw subpath(i-1\/2,i-1) of poly;\r\n    fi;\r\n    label(textext( \"$\" & lab & \"$\" ), 85 down rotated (360\/n*(i-1)));\r\n  endfor;\r\nenddef;\r\nATdraw(\"e1 f1 b1 b0 f0 a1 a0 e0 d1 d0 g1 c0 c0 g0\");\r\n<\/pre>\n<pre lang=\"latex\">\r\n\\end{mpdisplay}\r\n\r\n<\/pre>\n<p>\u5176\u4e2d\uff0c\u62c9\u4e01\u5b57\u6bcd\u8868\u793a\u7684\u662f\u8fb9\uff0c\u800c\u62c9\u4e01\u5b57\u6bcd\u540e\u9762\u76840\u6216\u80051\u8868\u793a\u8fb9\u7684\u65b9\u5411\u662f\u987a\u65f6\u9488\u6216\u9006\u65f6\u9488\u3002<\/p>\n<p>\u4f7f\u7528`xelatex -shell-escape \n<a href=\"https:\/\/blog.vanabel.cn\/wp-content\/uploads\/2023\/06\/ATdraw.png\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blog.vanabel.cn\/wp-content\/uploads\/2023\/06\/ATdraw.png\" alt=\"\" width=\"449\" height=\"450\" class=\"aligncenter size-full wp-image-1535\" srcset=\"https:\/\/blog.vanabel.cn\/wp-content\/uploads\/2023\/06\/ATdraw.png 449w, https:\/\/blog.vanabel.cn\/wp-content\/uploads\/2023\/06\/ATdraw-300x300.png 300w, https:\/\/blog.vanabel.cn\/wp-content\/uploads\/2023\/06\/ATdraw-150x150.png 150w, https:\/\/blog.vanabel.cn\/wp-content\/uploads\/2023\/06\/ATdraw-144x144.png 144w, https:\/\/blog.vanabel.cn\/wp-content\/uploads\/2023\/06\/ATdraw-120x120.png 120w\" sizes=\"auto, (max-width: 449px) 100vw, 449px\" \/><\/a><\/p>\n<div class='bibtex'>\n\t<div class='bibtex_h'>\u53c2\u8003\u6587\u732e<\/div>\n\t<ol><li id='Massey1977Algebraic'><span class='bibtex_author'>W. Massey<\/span>, <a class='bibtex_title' target='_blank' href='http:\/\/www.google.com\/search?q=Algebraic topology: an introduction'>Algebraic topology: an introduction<\/a>, <span class='bibtex_series'>Graduate Texts in Mathematics, Vol. 56<\/span>, <span class='bibtex_publisher'>Springer-Verlag, New York-Heidelberg<\/span>, <span class='bibtex_year'>1977<\/span>. <span class='bibtex_page'>0---387<\/span>. <span class='bibtex_note'>Reprint of the 1967 edition<\/span>. MR<a class='bibtex_mrnumber' target='_blank' href='http:\/\/www.ams.org\/mathscinet-getitem?mr=0448331'>0448331<\/a><\/li><\/ol><\/div>","protected":false},"excerpt":{"rendered":"<p>\u5728\u4ee3\u6570\u62d3\u6251\u91cc\uff0c\u6211\u4eec\u5c06\u66f2\u9762\u89c6\u4e3a\u5c06\u591a\u8fb9\u5f62\u7684\u5bf9\u5e94\u8fb9\u7c98\u8d34\u800c\u6210\u7684\u56fe\u5f62\u3002 \u5f53\u7136\u4e00\u4e2a\u91cd\u8981\u7684\u95ee\u9898\uff1a 1. \u5982\u4f55\u5c06\u4e00\u4e2a\u95ed\u66f2\u9762\u4e09\u89d2&hellip; <a class=\"more-link\" href=\"https:\/\/blog.vanabel.cn\/?p=1532\">\u7ee7\u7eed\u9605\u8bfb<span class=\"screen-reader-text\">\u4ee3\u6570\u62d3\u6251\u91cc\u9762\u7b80\u5316\u591a\u8fb9\u5f62\u7684\u4f5c\u56fe\u7a0b\u5e8f<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[85],"tags":[292,293,294],"class_list":["post-1532","post","type-post","status-publish","format-standard","hentry","category-apostil","tag-metapost","tag-daishutapu","tag-qumiandefenlei","entry"],"_links":{"self":[{"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=\/wp\/v2\/posts\/1532","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1532"}],"version-history":[{"count":3,"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=\/wp\/v2\/posts\/1532\/revisions"}],"predecessor-version":[{"id":1536,"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=\/wp\/v2\/posts\/1532\/revisions\/1536"}],"wp:attachment":[{"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1532"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1532"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1532"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}