[{"@context":"http:\/\/schema.org\/","@type":"BlogPosting","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/22293#BlogPosting","mainEntityOfPage":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/22293","headline":"Groupide -SpeedyLook\u767e\u79d1\u4e8b\u5178","name":"Groupide -SpeedyLook\u767e\u79d1\u4e8b\u5178","description":"before-content-x4 \u3068 Grupoide \u3001\u6570\u5b66\u3001\u7279\u306b\u30ab\u30c6\u30b4\u30ea\u30fc\u306e\u7406\u8ad6\u3084\u30db\u30e2\u30c8\u30d4\u30a2\u3067\u306f\u3001\u540c\u6642\u306b\u3001\u30bb\u30c3\u30c8\u306e\u30b0\u30eb\u30fc\u30d7\u3001\u30bb\u30c3\u30c8\u306e\u540c\u7b49\u306e\u95a2\u4fc2\u3001\u304a\u3088\u3073\u30bb\u30c3\u30c8\u306e\u30b0\u30eb\u30fc\u30d7\u306e\u30b0\u30eb\u30fc\u30d7\u3092\u4e00\u822c\u5316\u3059\u308b\u6982\u5ff5\u3067\u3059\u3002 \u591a\u304f\u306e\u5834\u5408\u3001\u305d\u308c\u3089\u306f\u54c1\u7a2e\u306a\u3069\u306e\u5e7e\u4f55\u5b66\u7684\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u306b\u95a2\u3059\u308b\u60c5\u5831\u3092\u30ad\u30e3\u30d7\u30c1\u30e3\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002 after-content-x4 \u300cGroupoid\u300d\u3068\u3044\u3046\u7528\u8a9e\u306f\u3001\u30de\u30b0\u30de\u306b\u3082\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002\u3042\u3089\u3086\u308b\u7a2e\u985e\u306e\u30d0\u30a4\u30ca\u30ea\u64cd\u4f5c\u304c\u3042\u308b\u30bb\u30c3\u30c8\u3067\u3059\u3002 \u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u305d\u306e\u3088\u3046\u306a\u6982\u5ff5\u306b\u305d\u306e\u7528\u8a9e\u3092\u4f7f\u7528\u3057\u307e\u305b\u3093\u3002 Table of Contents \u5b9a\u7fa9 [ \u7de8\u96c6\u3057\u307e\u3059 ] \u5618\u3068\u4ee3\u8868\u7684\u306agrupoides de\u5618 [ \u7de8\u96c6\u3057\u307e\u3059 ]","datePublished":"2023-06-17","dateModified":"2023-06-17","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\/c39368f8c0b42847455ed449388037303b977d42","url":"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/c39368f8c0b42847455ed449388037303b977d42","height":"","width":""},"url":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/22293","wordCount":3290,"articleBody":"     (adsbygoogle = window.adsbygoogle || []).push({});before-content-x4\u3068 Grupoide \u3001\u6570\u5b66\u3001\u7279\u306b\u30ab\u30c6\u30b4\u30ea\u30fc\u306e\u7406\u8ad6\u3084\u30db\u30e2\u30c8\u30d4\u30a2\u3067\u306f\u3001\u540c\u6642\u306b\u3001\u30bb\u30c3\u30c8\u306e\u30b0\u30eb\u30fc\u30d7\u3001\u30bb\u30c3\u30c8\u306e\u540c\u7b49\u306e\u95a2\u4fc2\u3001\u304a\u3088\u3073\u30bb\u30c3\u30c8\u306e\u30b0\u30eb\u30fc\u30d7\u306e\u30b0\u30eb\u30fc\u30d7\u3092\u4e00\u822c\u5316\u3059\u308b\u6982\u5ff5\u3067\u3059\u3002 \u591a\u304f\u306e\u5834\u5408\u3001\u305d\u308c\u3089\u306f\u54c1\u7a2e\u306a\u3069\u306e\u5e7e\u4f55\u5b66\u7684\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u306b\u95a2\u3059\u308b\u60c5\u5831\u3092\u30ad\u30e3\u30d7\u30c1\u30e3\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4\u300cGroupoid\u300d\u3068\u3044\u3046\u7528\u8a9e\u306f\u3001\u30de\u30b0\u30de\u306b\u3082\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002\u3042\u3089\u3086\u308b\u7a2e\u985e\u306e\u30d0\u30a4\u30ca\u30ea\u64cd\u4f5c\u304c\u3042\u308b\u30bb\u30c3\u30c8\u3067\u3059\u3002\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u305d\u306e\u3088\u3046\u306a\u6982\u5ff5\u306b\u305d\u306e\u7528\u8a9e\u3092\u4f7f\u7528\u3057\u307e\u305b\u3093\u3002 Table of Contents\u5b9a\u7fa9 [ \u7de8\u96c6\u3057\u307e\u3059 ] \u5618\u3068\u4ee3\u8868\u7684\u306agrupoides de\u5618 [ \u7de8\u96c6\u3057\u307e\u3059 ] \u53c2\u7167\u3057\u3066\u304f\u3060\u3055\u3044 [ \u7de8\u96c6\u3057\u307e\u3059 ] \u53c2\u7167 [ \u7de8\u96c6\u3057\u307e\u3059 ] \u5916\u90e8\u30ea\u30f3\u30af [ \u7de8\u96c6\u3057\u307e\u3059 ] \u5b9a\u7fa9 [ \u7de8\u96c6\u3057\u307e\u3059 ] \u30ab\u30c6\u30b4\u30ea\u30fc\u306e\u89b3\u70b9\u304b\u3089\u898b\u308b\u3068\u3001GroupID\u306f\u5358\u306b\u3059\u3079\u3066\u306e\u5f62\u614b\u304c\u540c\u578b\uff08\u3064\u307e\u308a\u3001\u9006\uff09\u3067\u3042\u308b\u305d\u308c\u3089\u306e1\u3064\u3067\u3059\u3002 [ \u521d\u3081 ] \u200b        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4\u3042\u308b\u3044\u306f\u3001\u6b21\u306e\u540c\u7b49\u306e\u5b9a\u7fa9\u3092\u4e0e\u3048\u308b\u3053\u3068\u304c\u53ef\u80fd\u3067\u3059\uff1agroupoid g \u21c9 m {displaystyle grightrightarrows m} \u3067\u69cb\u6210\u3055\u308c\u3066\u3044\u307e\u3059 \u30b0\u30eb\u30fc\u30d7\u306f\u30b0\u30eb\u30fc\u30d7\u30d9\u30fc\u30b9\u306e\u30b0\u30eb\u30fc\u30d7\u3067\u3059\u3002 \u6d77 m {displaystyle m} \u8a2d\u5b9a\u3001 g {displaystyle g} \u30b0\u30eb\u30fc\u30d7\u3001 s \uff1a m \u00d7 g \u00d7 m \u2192 m {displaystyle s\uff1amtimes gtimes mto m} 3\u756a\u76ee\u306e\u5ea7\u6a19\u3078\u306e\u6295\u5f71\u3001 t \uff1a m \u00d7 g \u00d7 m \u2192 m {displaystyleT\uff1amtimes gtimes mto m} \u6700\u521d\u306e\u5ea7\u6a19\u3078\u306e\u6295\u5f71\u3001 \u521d\u3081 \uff1a m \u2192 m \u00d7 g \u00d7 m {displaystyle 1\uff1amto mtimes gtimes m} \u306b\u3088\u3063\u3066\u4e0e\u3048\u3089\u308c\u305f \u30d0\u30c4 \u21a6 \uff08 \u30d0\u30c4 \u3001 \u521d\u3081 \u3001 \u30d0\u30c4 \uff09\uff09 {displaystyle xmapsto\uff08x\u30011\u3001x\uff09} \u3002 la\u90e8\u5206\u7684\u304a\u3088\u3073\u9006\u306e\u30de\u30eb\u30c1\u30b0\u30ea\u30b7\u30aa\u30f3\u306b\u3088\u3063\u3066\u4e0e\u3048\u3089\u308c\u305f \uff08 \u3068 \u3001 h \u3001 \u3068 \uff09\uff09 \uff08 \u3068 \u3001 g \u3001 \u30d0\u30c4 \uff09\uff09 = \uff08 \u3068 \u3001 h g \u3001 \u30d0\u30c4 \uff09\uff09 {displaystyle\uff08z\u3001h\u3001y\uff09\uff08y\u3001g\u3001x\uff09=\uff08z\u3001hg\u3001x\uff09} \u3001 \uff08 \u3068 \u3001 g \u3001 \u30d0\u30c4 )\u22121= \uff08 \u30d0\u30c4 \u3001 g\u22121\u3001 \u3068 \uff09\uff09 {displaystyle ,,\uff08y\u3001g\u3001x\uff09^{ –  1} =\uff08x\u3001g^{ –  1}\u3001y\uff09}} \u3001 \u305d\u308c\u305e\u308c\u3002\u3053\u308c\u306f\u3001\u793a\u3055\u308c\u3066\u3044\u308bGroupID\u3067\u3042\u308b\u3053\u3068\u304c\u5224\u660e\u3057\u307e\u3057\u305f m \u00d7 g \u00d7 m \u21c9 m {displaystyle mtimes gtimes mrightrightarrows m} \u3068\u547c\u3070\u308c\u307e\u3059 Grupoide\u4e9b\u7d30\u306a \u3060\u3044\u305f\u3044 m {displaystyle m} \u30b0\u30eb\u30fc\u30d7\u3067 g {displaystyle g} \u3002 \u30c8\u30dd\u30ed\u30b8\u30fc\u3067\u306f\u3001\u30c8\u30dd\u30ed\u30b8\u30ab\u30eb\u7a7a\u9593\u306e\u57fa\u672c\u30b0\u30eb\u30fc\u30d7 \u30d0\u30c4 {displaystyle x\u3001} \u3053\u308c\u306f\u3001\u4e26\u7f6e\u30af\u30e9\u30b9\u306e\u64cd\u4f5c\u3092\u4f34\u3046Curves Homotopia\u30af\u30e9\u30b9\u306e\u30bb\u30c3\u30c8\u3067\u3059\uff08\u53ef\u80fd\u306a\u5834\u5408\uff09\u3002\u5f0f\u3067\u8868\u3055\u308c\u307e\u3059 \u03c01\uff08 \u30d0\u30c4 \uff09\uff09 {displaystyle pi _ {1}\uff08x\uff09} \u3002 \u30db\u30e2\u30c8\u30d4\u30a2\u306e\u30af\u30e9\u30b9\u306f\u3001\u30db\u30e2\u30c8\u30d4\u30c3\u30af\u306e\u95a2\u4fc2\u3001\u3064\u307e\u308a2\u3064\u306e\u66f2\u7dda\u306b\u3088\u3063\u3066\u6c7a\u5b9a\u3055\u308c\u308b\u540c\u7b49\u306e\u30af\u30e9\u30b9\u3067\u3059 a \u3001 b \uff1a [ 0 \u3001 \u521d\u3081 ] \u2192 \u30d0\u30c4 {displaystyle alpha\u3001beta\uff1a[0,1] to x\u3001} \u305d\u306e\u3088\u3046\u306a        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4a \uff08 0 \uff09\uff09 = b \uff08 0 \uff09\uff09 {displaystyle alpha\uff080\uff09= beta\uff080\uff09\u3001} \u3068 a \uff08 \u521d\u3081 \uff09\uff09 = b \uff08 \u521d\u3081 \uff09\uff09 {displaystyle alpha\uff081\uff09= beta\uff081\uff09\u3001} ;\u7d99\u7d9a\u7684\u306a\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u304c\u3042\u308b\u5834\u5408\u3001\u305d\u308c\u3089\u306f\u540c\u97f3\u3067\u3059 h \uff1a [ 0 \u3001 \u521d\u3081 ] \u00d7 [ 0 \u3001 \u521d\u3081 ] \u2192 \u30d0\u30c4 {displaystyle h\uff1a[0,1]\u500d[0,1]\u304b\u3089} \u305d\u306e\u3088\u3046\u306a h \uff08 k \u3001 0 \uff09\uff09 = a \uff08 k \uff09\uff09 {displaystyle h\uff08k\u30010\uff09= alpha\uff08k\uff09\u3001} \u3001 h \uff08 k \u3001 \u521d\u3081 \uff09\uff09 = b \uff08 k \uff09\uff09 {displaystyle h\uff08k\u30011\uff09= beta\uff08k\uff09\u3001} h \uff08 0 \u3001 r \uff09\uff09 = a \uff08 0 \uff09\uff09 = b \uff08 0 \uff09\uff09 {displaystyle h\uff080\u3001r\uff09= alpha\uff080\uff09= beta\uff080\uff09\u3001} \u3001 h \uff08 \u521d\u3081 \u3001 r \uff09\uff09 = a \uff08 \u521d\u3081 \uff09\uff09 = b \uff08 \u521d\u3081 \uff09\uff09 {displaystyle h\uff081\u3001r\uff09= alpha\uff081\uff09= beta\uff081\uff09\u3001} \u3002 \u3053\u306e\u5834\u5408\u3001\u30d9\u30fc\u30b9\u306f\u30b9\u30da\u30fc\u30b9\u3067\u3059 \u30d0\u30c4 {displaystyle x\u3001} \u3001\u539f\u70b9\u3068\u6700\u7d42\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u306f\u3001\u5404\u66f2\u7dda\u306e\u8d77\u6e90\u3068\u7d42\u4e86\u3067\u3059\u3002 ID\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u306f\u3067\u3059 1x\uff08 r \uff09\uff09 = \u30d0\u30c4 {displaystyle 1_ {x}\uff08r\uff09= x} \u3001\u3064\u307e\u308a\u3001\u4e00\u5b9a\u306e\u4e00\u5b9a\u306e\u66f2\u7dda\u304c \u30d0\u30c4 {displaystyle x} \u305d\u3057\u3066\u9006\u306f\u3001\u66f2\u7dda\u3092\u53cd\u5bfe\u65b9\u5411\u306b\u79fb\u52d5\u3059\u308b\u3053\u3068\u3067\u3059\u3002 \u57fa\u672c\u7684\u306a\u30b0\u30eb\u30fc\u30d7\u306b\u306f\u3059\u3079\u3066\u306e\u57fa\u672c\u30b0\u30eb\u30fc\u30d7\u304c\u542b\u307e\u308c\u3001\u305d\u308c\u3089\u3092\u5358\u4e00\u306e\u69cb\u9020\u306b\u7d71\u5408\u3059\u308b\u3053\u3068\u306f\u660e\u3089\u304b\u3067\u3059\u3002 \u5618\u3068\u4ee3\u8868\u7684\u306agrupoides de\u5618 [ \u7de8\u96c6\u3057\u307e\u3059 ] \u5e7e\u4f55\u5b66\u7684\u306a\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u3092\u7814\u7a76\u3059\u308b\u3068\u304d\u3001\u3057\u3070\u3057\u3070\u3044\u304f\u3064\u304b\u306e\u5fae\u5206\u53ef\u80fd\u306a\u69cb\u9020\u3092\u5b9f\u884c\u3057\u3001\u306a\u308b\u30b0\u30eb\u30fc\u30d7\u304c grupoides\u306b\u5618\u3092\u3064\u304f \u3002\u3053\u308c\u3089\u306f\u3001\u5618\u306e\u30b0\u30eb\u30fc\u30d7\u3068\u5618\u306e\u4ee3\u6570\u3068\u306e\u95a2\u4fc2\u306b\u985e\u4f3c\u3057\u3066\u3001\u5618\u306e\u4ee3\u8868\u6027\u306e\u89b3\u70b9\u304b\u3089\u7814\u7a76\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 \u53c2\u7167\u3057\u3066\u304f\u3060\u3055\u3044 [ \u7de8\u96c6\u3057\u307e\u3059 ] \u53c2\u7167 [ \u7de8\u96c6\u3057\u307e\u3059 ] \u30d1\u30bf\u30fc\u30bd\u30f3\u3001\u30a2\u30e9\u30f3L.T. \uff081999\uff09\u3002\u30a2\u30e9\u30f3L.T.\u30d1\u30bf\u30fc\u30bd\u30f3\u7de8 Groupoids\u3001\u9006\u30bb\u30df\u30b0\u30eb\u30fc\u30d7\u3001\u304a\u3088\u3073\u305d\u306e\u6f14\u7b97\u5b50\u4ee3\u6570  \uff08\u82f1\u8a9e\u3067\uff09 \u3002\u30d9\u30eb\u30ea\u30f3\uff1aSpringer Velag\u3002 ISBN 0817640517 \u3002  \u5916\u90e8\u30ea\u30f3\u30af [ \u7de8\u96c6\u3057\u307e\u3059 ] Alan Weinstein\u3001Groupoids\uff1a\u5185\u90e8\u304a\u3088\u3073\u5916\u90e8\u5bfe\u79f0\u6027\u306e\u7d71\u4e00 Groupoids.ps o weinstein.pdf \u975e\u5c40\u5728\u4ee3\u6570\u306e\u5e7e\u4f55\u5b66\u30e2\u30c7\u30eb\u3001\u30d1\u30fc\u30c8 A. Cannas Da Silva\u3068A. Weinstein  PDF\u30d5\u30a1\u30a4\u30eb\u3002           (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4"},{"@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\/22293#breadcrumbitem","name":"Groupide -SpeedyLook\u767e\u79d1\u4e8b\u5178"}}]}]