[{"@context":"http:\/\/schema.org\/","@type":"BlogPosting","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/11465#BlogPosting","mainEntityOfPage":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/11465","headline":"\u30c8\u30dd\u30ed\u30b8\u30de\u30c3\u30d7 – \u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2","name":"\u30c8\u30dd\u30ed\u30b8\u30de\u30c3\u30d7 – \u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2","description":"before-content-x4 \u30c8\u30dd\u30ed\u30b8\u30de\u30c3\u30d7 \u30c8\u30dd\u30ed\u30b8\u30fc\u30b0\u30e9\u30d5\u7406\u8ad6\u306e\u6570\u5b66\u7684\u30b5\u30d6\u30a8\u30ea\u30a2\u304b\u3089\u306e\u7528\u8a9e\u3067\u3059\u3002\u3053\u306e\u7528\u8a9e\u306f\u3001\u8272\u4ed8\u3051\u306e\u554f\u984c\u306b\u95a2\u3059\u308b\u7814\u7a76\u306b\u95a2\u9023\u3057\u3066\u3001\u7279\u306b4\u8272\u306e\u30bb\u30c3\u30c8\u304a\u3088\u3073\u95a2\u9023\u3059\u308b\u6570\u5b66\u7684\u6559\u80b2\u6587\u306b\u95a2\u9023\u3057\u3066\u7279\u306b\u91cd\u8981\u3067\u3059\u3002 \u4e00 \u30c8\u30dd\u30ed\u30b8\u30de\u30c3\u30d7 K{displaystyle {mathfrak {k}}} \u30a8\u30ea\u30a2\u3067 f \u2282 Rd\uff08 d \u00a0ganzzahlig\u3001 d \u2265 2 \uff09\uff09 {displaystyle fsubset","datePublished":"2020-12-22","dateModified":"2020-12-22","author":{"@type":"Person","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/author\/lordneo#Person","name":"lordneo","url":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/author\/lordneo","image":{"@type":"ImageObject","@id":"https:\/\/secure.gravatar.com\/avatar\/44a4cee54c4c053e967fe3e7d054edd4?s=96&d=mm&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/44a4cee54c4c053e967fe3e7d054edd4?s=96&d=mm&r=g","height":96,"width":96}},"publisher":{"@type":"Organization","name":"Enzyklop\u00e4die","logo":{"@type":"ImageObject","@id":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","url":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","width":600,"height":60}},"image":{"@type":"ImageObject","@id":"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/cab18cd51b61523206102ec1074d8ffa8ee18260","url":"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/cab18cd51b61523206102ec1074d8ffa8ee18260","height":"","width":""},"url":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/11465","wordCount":6954,"articleBody":"     (adsbygoogle = window.adsbygoogle || []).push({});before-content-x4\u30c8\u30dd\u30ed\u30b8\u30de\u30c3\u30d7 \u30c8\u30dd\u30ed\u30b8\u30fc\u30b0\u30e9\u30d5\u7406\u8ad6\u306e\u6570\u5b66\u7684\u30b5\u30d6\u30a8\u30ea\u30a2\u304b\u3089\u306e\u7528\u8a9e\u3067\u3059\u3002\u3053\u306e\u7528\u8a9e\u306f\u3001\u8272\u4ed8\u3051\u306e\u554f\u984c\u306b\u95a2\u3059\u308b\u7814\u7a76\u306b\u95a2\u9023\u3057\u3066\u3001\u7279\u306b4\u8272\u306e\u30bb\u30c3\u30c8\u304a\u3088\u3073\u95a2\u9023\u3059\u308b\u6570\u5b66\u7684\u6559\u80b2\u6587\u306b\u95a2\u9023\u3057\u3066\u7279\u306b\u91cd\u8981\u3067\u3059\u3002 \u4e00 \u30c8\u30dd\u30ed\u30b8\u30de\u30c3\u30d7  K{displaystyle {mathfrak {k}}} \u30a8\u30ea\u30a2\u3067 f \u2282 Rd\uff08 d \u00a0ganzzahlig\u3001 d \u2265 2 \uff09\uff09 {displaystyle fsubset mathbb {r} ^{d};\uff08d {text {full number}};\u3001; dgeq 2\uff09} \u30c8\u30ea\u30d7\u30eb\u3067\u3059 K= \uff08 L\u3001 G\u3001 \u3068 \uff09\uff09 {displaystyle {mathfrak {k}} =\uff08{mathfrak {l}}\u3001{mathfrak {g}}\u3001e\uff09} \u3001\u305d\u308c\u306b\u3088\u3063\u3066 L{displaystyle {mathfrak {l}}} \u3068 G{displaystyle {mathfrak {g}}} \u306e\u30b5\u30d6\u91cf\u306e2\u3064\u306e\u6709\u9650\u6570\u91cf\u30b7\u30b9\u30c6\u30e0 f {displaystyle f} and and \u3068 \u2282 f {displaystylesubset f} \u307e\u305f\u3001\u6709\u9650\u306e\u91cf\u3067\u3059\u3002 \u306e\u5404\u8981\u7d20 L{displaystyle {mathfrak {l}}} \u3044\u3064 \u571f\u5730 \u3001\u306e\u3059\u3079\u3066\u306e\u8981\u7d20 G{displaystyle {mathfrak {g}}} \u3044\u3064 \u5883\u754c\u7dda \u3068\u306e\u3059\u3079\u3066\u306e\u8981\u7d20 \u3068 {displaystyle e} \u3044\u3064 \u30b3\u30fc\u30ca\u30fc \u30c8\u30dd\u30ed\u30b8\u30ab\u30eb\u30de\u30c3\u30d7 K{displaystyle {mathfrak {k}}} \u3002 1\u3064\u306e\u30dd\u30a4\u30f3\u30c8 \u30d0\u30c4 \u2208 Rd{displaystyle xin mathbb {r} ^{d}} \u306f \u30a8\u30c3\u30b8\u30dd\u30a4\u30f3\u30c8 \u30de\u30c3\u30d7\u306b\u5c5e\u3059\u308b1\u3064\u306e\u56fd l {displaystyle l} \u5f7c\u304c\u76f8\u5bfe\u7684\u306a\u30c8\u30dd\u30ed\u30b8\u30fc\u306e\u7d50\u8ad6\u3067\u3042\u308b\u5834\u5408 L\u00af\u2229 f {displaystyle {overline {l}} cap f} \u304b\u3089 l {displaystyle l} \u306e f {displaystyle f} \u805e\u3044\u305f\u3002 \u4e21\u56fd L1{displaystyle l_ {1}} \u3068 L2{displaystyle l_ {2}} \u304b\u3089 K{displaystyle {mathfrak {k}}} \u547c\u3070\u308c\u307e\u3059 \u96a3\u63a5 \u307e\u305f \u96a3\u63a5 \u306e\u5883\u754c\u7dda\u306e\u4e0b\u306e\u5834\u5408 K{displaystyle {mathfrak {k}}} 1\u3064\u304c\u767a\u751f\u3057\u307e\u3059\u3002 L1{displaystyle l_ {1}} \u304b\u3089\u3068\u540c\u69d8\u306b L2{displaystyle l_ {2}} \u69cb\u6210\u3055\u308c\u307e\u3059\u3002 \u6574\u6570\u306e1\u3064 0″>\u30a4\u30e9\u30b9\u30c8\u304c\u4e0e\u3048\u3089\u308c\u307e\u3059 f \uff1a L\u2192 { \u521d\u3081 \u3001 … \u3001 n } {displaystyle fcolon\u3001{mathfrak {l}}\u304b\u3089{1\u3001ldots\u3001n}}} \u547c\u3070\u308c\u3066\u3044\u307e\u3059 n{displaystyle n} -\u7740\u8272 \u3002 \u306e\u8981\u7d20 {1,\u2026,n}{displaystyle {1\u3001ldots\u3001n}} \uff08\u30b0\u30e9\u30d5\u7406\u8ad6\u306e\u7fd2\u6163\u306b\u5f93\u3063\u3066\uff09\u3068\u547c\u3070\u308c\u3066\u3044\u307e\u3059 \u8272 \u3002 \u4e00 n{displaystyle n} -\u7740\u8272 f:L\u2192{1,\u2026,n}{displaystyle fcolon\u3001{mathfrak {l}}\u304b\u3089{1\u3001ldots\u3001n}}} \u547c\u3070\u308c\u3066\u3044\u307e\u3059 \u8a31\u5bb9 \u3082\u3057\u3042\u308c\u3070 2\u3064\u306e\u8fd1\u96a3\u8af8\u56fd \u5bcc f{displaystyle f} \u3044\u3064\u3082 2\u3064\u306e\u7570\u306a\u308b\u8272 \u5272\u308a\u5f53\u3066\u3002 \u30c8\u30dd\u30ed\u30b8\u30ab\u30eb\u30de\u30c3\u30d7\u3092\u8a31\u53ef\u3057\u307e\u3059 K{displaystyle {mathfrak {k}}} \u306e\u4e0a F{displaystyle f} \u6574\u6570\u306e\u305f\u3081\u306b 0″>\u4e00 \u8a31\u53ef\u3055\u308c\u305f n{displaystyle n}-\u7740\u8272 \u3001 \u3057\u304b\u3057 \u3044\u3044\u3048 \u4ee5\u4e0b\u306e\u5c11\u306a\u3044\u8a31\u5bb9\u8272 n{displaystyle n} \u8272\u3001\u305d\u308c\u306f\u3053\u306e\u6574\u6570\u304c\u547c\u3070\u308c\u3066\u3044\u308b\u3082\u306e\u3067\u3059 n{displaystyle n}  \u30af\u30ed\u30de\u30c6\u30a3\u30c3\u30af\u6570\u306e K{displaystyle {mathfrak {K}}}\u305d\u3057\u3066\u3001\u305d\u308c\u3089\u3092\u6307\u3057\u307e\u3059 \u03c7(K){displaystyle chi\uff08{mathfrak {k}}\uff09} \u3002 \u3042\u306a\u305f\u304c\u5f62\u6210\u3057\u307e\u3059 \u3059\u3079\u3066\u306e\u30c8\u30dd\u30ed\u30b8\u30de\u30c3\u30d7\u306b\u3064\u3044\u3066 F{displaystyle F} \u6700\u5f8c sup{\u03c7(K):Ktopologische Landkarte auf F}{displaystyle sup{chi ({mathfrak {K}}):{mathfrak {K}};{text{topologische Landkarte auf F}}}} \u95a2\u9023\u3059\u308b\u3059\u3079\u3066\u306e\u8272\u7d20\u6570 \u305d\u3057\u3066\u3001\u3053\u306e\u6574\u6570\u3067\u3059 (F){displaystyle chi\uff08f\uff09} \u5c02\u7528\u3002 [\u521d\u3081] \u8abf\u67fb\u3055\u308c\u308b\u9818\u57df\u306f\u901a\u5e38\u3001\u30a8\u30ea\u30a2\u3067\u3059 f \u2282 Rd\uff08 d = 2 \u3001 3 \u3001 4 \uff09\uff09 {displaystyle fsubset mathbb {r} ^{d};\uff08d = 2,3,4\uff09}} \u3002 \u6559\u80b2\u30bb\u30c3\u30c8\u306b\u95a2\u3059\u308b\u30e1\u30e2 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u30ef\u30a4\u30b9\u30b1\u306e\u5224\u6c7a\u306f\u3001\u6570\u5b66\u8005\u306e8\u6708\u306e\u30d5\u30a7\u30eb\u30c7\u30a3\u30ca\u30f3\u30c9\u30fb\u30e1\u30d3\u30a6\u30b9\u306e\u53cb\u4eba\u3067\u3042\u308b\u54f2\u5b66\u8005\u306e\u30d9\u30f3\u30b8\u30e3\u30df\u30f3\u30fb\u30b4\u30c3\u30c8\u30bd\u30fc\u30eb\u30c9\u30fb\u30ef\u30a4\u30b9\u30b1\uff081783\u20131836\uff09\u306b\u623b\u308a\u307e\u3059\u3002\u3053\u306e\u7d50\u679c\u306e\u8457\u8005\u306f\u3001M\u00f6bius\u306e\u8ca1\u7523\u3092\u898b\u308b\u3068\u304d\u3001Geomer Richard Baltzer\u306b\u3088\u3063\u3066\u767a\u898b\u3055\u308c\u307e\u3057\u305f\u3002\u30d0\u30eb\u30c4\u30a1\u30fc\u304c1885\u5e74\u306e\u8b1b\u7fa9\u3067\u30ef\u30a4\u30b9\u30b1\u3068\u5f7c\u306e\u7269\u8a9e\u306e\u5211\u306b\u3064\u3044\u3066\u5831\u544a\u3057\u305f\u3068\u304d\u3001\u5f7c\u306f4\u3064\u306e\u30ab\u30e9\u30fc\u30bb\u30c3\u30c8\u304c\u3059\u3067\u306b\u308f\u305a\u304b\u306a\u7d50\u8ad6\u3067\u3042\u308b\u3068\u4e16\u754c\u306b\u9593\u9055\u3044\u3092\u72af\u3057\u307e\u3057\u305f\u3002\u4e00\u65b9\u3001Baltzer Weikes\u306e\u6587\u306e\u8868\u73fe\u3068\u306f\u5bfe\u7167\u7684\u306b\u30015\u3064\u306e\u30ab\u30e9\u30fc\u30bb\u30c3\u30c8\u306e\u308f\u305a\u304b\u306a\u5c0e\u51fa\u304c\u6709\u52b9\u306b\u306a\u308b\u306e\u306f\u6b63\u3057\u3044\u3053\u3068\u3067\u3059\u3002\u30d0\u30eb\u30c4\u30a1\u30fc\u306e\u9593\u9055\u3044\u306f\u30011959\u5e74\u306b\u30b8\u30aa\u30e1\u30fc\u30bf\u30fc\u306e\u30cf\u30ed\u30eb\u30c9\u30fb\u30b9\u30b3\u30c3\u30c8\u30fb\u30de\u30af\u30c9\u30ca\u30eb\u30c9\u30fb\u30b3\u30af\u30bb\u30bf\u30fc\u306b\u3088\u3063\u3066\u3064\u3044\u306b\u524a\u9664\u3055\u308c\u307e\u3057\u305f\u3002 [2] 4\u8272\u30bb\u30c3\u30c8\u306f\u591a\u304f\u306e\u4eba\u306b\u3088\u3063\u3066\u8a3c\u660e\u3055\u308c\u3066\u3044\u308b\u3068\u898b\u306a\u3055\u308c\u307e\u3059\u304c\u3001\u3059\u3079\u3066\u306e\u6570\u5b66\u306b\u3088\u3063\u3066\u6c7a\u3057\u3066\u8a3c\u660e\u3055\u308c\u3066\u3044\u307e\u305b\u3093\u3002 [8] \u30d1\u30fc\u30b7\u30fc\u30fb\u30b8\u30e7\u30f3\u30fb\u30d2\u30fc\u30a6\u30c3\u30c9\u306f\u3001\u30d2\u30fc\u30a6\u30c3\u30c9\u306e\u4e0d\u5e73\u7b49\u306e\u5e73\u7b49\u306e\u5146\u5019\u304c\u30d2\u30fc\u30a6\u30c3\u30c9\u306e\u4e0d\u5e73\u7b49\u306b\u3082\u9069\u7528\u3055\u308c\u306a\u3051\u308c\u3070\u306a\u3089\u306a\u3044\u3068\u7591\u3063\u3066\u304a\u308a\u30011968\u5e74\u306b2\u4eba\u306e\u6570\u5b66\u8005\u3067\u3042\u308b\u30b2\u30eb\u30cf\u30eb\u30c8\u30fb\u30ea\u30f3\u30b2\u30eb\u3068\u30b8\u30e7\u30f3\u30fb\u30a6\u30a3\u30ea\u30a2\u30e0\u30fb\u30bb\u30aa\u30c9\u30a2\u30fb\u30e4\u30f3\u30b0\u306b\u3088\u3063\u3066\u6700\u7d42\u7684\u306b\u8a3c\u660e\u3055\u308c\u307e\u3057\u305f\u3002 [7]        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4 \u30b9\u30ec\u30c3\u30c9\u306e\u554f\u984c \u6b21\u306e\u30bf\u30b9\u30af\u306e\u89e3\u6c7a\u7b56\u306e\u554f\u984c\u3067\uff1a \u53ef\u80fd\u3067\u3042\u308c\u3070 – \u4e0e\u3048\u3089\u308c\u305f\u81ea\u7136\u6570\u306e\u305f\u3081\u306b m\u22653{displaystyle mgeq 3} \u6700\u5c0f\u306e\u81ea\u7136\u6570        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4\u03b3(m){displaystyle\u30ac\u30f3\u30de\uff08m\uff09} \u9589\u3058\u305f\u65b9\u5411\u306e\u3042\u308b\u30a8\u30ea\u30a2\u3067\u6c7a\u5b9a\u3055\u308c\u307e\u3059 H\u03b3(m){displaystyle h_ {gamma\uff08m\uff09}} \u6027\u5225 \u03b3(m){displaystyle\u30ac\u30f3\u30de\uff08m\uff09} \u9078\u629e\u3055\u308c\u305f\u7570\u306a\u308b\u30dd\u30a4\u30f3\u30c8 p1,p2,\u2026,pm\u2208H\u03b3(m){displaystyle p_ {1}\u3001p_ {2}\u3001ldots\u3001p_ {m} in h_ {gamma\uff08m\uff09}}} \u5e38\u306b\u5358\u7d14\u306a\u30e8\u30eb\u30c0\u30f3\u30af\u30eb\u30fc\u30d6\u3067\u30da\u30a2\u3067\u3001\u3053\u308c\u3089\u306e\u3059\u3079\u3066\u306e\u30e8\u30eb\u30c0\u30f3\u66f2\u7dda\u304c\u4e92\u3044\u306b\u4ea4\u5dee\u3057\u306a\u3044\u3088\u3046\u306b\u3001\u305b\u3044\u305c\u3044\u9078\u629e\u3055\u308c\u305f\u30dd\u30a4\u30f3\u30c8\u3067\u63a5\u7d9a\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4p1,p2,\u2026,pm{displaystyle p_ {1}\u3001p_ {2}\u3001ldots\u3001p_ {m}} \u4f1a\u3046\u3002 [9] \u3054\u89a7\u306e\u3068\u304a\u308a\u3001\u30b9\u30ec\u30c3\u30c9\u306e\u554f\u984c\u3092\u89e3\u6c7a\u3057\u3001\u5f0f\u304c\u3053\u308c\u306b\u3064\u306a\u304c\u308b\u53ef\u80fd\u6027\u304c\u3042\u308a\u307e\u3059 c \uff08 m \uff09\uff09 = \u2308 (m\u22123)(m\u22124)12\u2309 \uff08 m \u2208 N\u3001 m \u2265 3 \uff09\uff09 {displaystyle gamma\uff08m\uff09= lceil {frac {\uff08m-3\uff09\uff08m-4\uff09} {12}}} rceil;\uff08min mathbb {n}; \u3002 [\u5341] \u307e\u305f\u3001\u3053\u306e\u5f0f\u306e\u59a5\u5f53\u6027\u3082\u3001\u30d2\u30fc\u30a6\u30c3\u30c9\u30a2\u30a4\u30c7\u30f3\u30c6\u30a3\u30c6\u30a3\u65b9\u7a0b\u5f0f\u306e\u59a5\u5f53\u6027\u3082\u793a\u3057\u3066\u3044\u307e\u3059 "},{"@context":"http:\/\/schema.org\/","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/#breadcrumbitem","name":"Enzyklop\u00e4die"}},{"@type":"ListItem","position":2,"item":{"@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/11465#breadcrumbitem","name":"\u30c8\u30dd\u30ed\u30b8\u30de\u30c3\u30d7 – \u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2"}}]}]