361:
25:
188:
116:
309:
402:
272:
123:
91:
231:
197:
34:
219:
129:
426:
79:
421:
395:
43:
119:
388:
193:
71:
211:
305:
215:
67:
39:
281:
207:
293:
289:
87:
372:
318:
101:
59:
415:
95:
267:
251:
334:
368:
347:
What is a simplicial commutative ring from the point of view of homotopy theory?
83:
304:. Progress in Mathematics. Vol. 174. Basel, Boston, Berlin: Birkhäuser.
360:
270:(1945), "Harmonische Funktionen und Randwertaufgaben in einem Komplex",
285:
346:
338:
94:
says that a simplicial abelian group may be identified with a
18:
98:. In fact it can be shown that any simplicial abelian group
376:
132:
104:
206:discusses a simplicial analogue of the fact that a
196:in the category of simplicial abelian groups is a
182:
110:
58:In mathematics, more precisely, in the theory of
183:{\displaystyle \prod _{i\geq 0}K(\pi _{i}A,i).}
396:
255:
8:
403:
389:
159:
137:
131:
103:
243:
203:
323:An introduction to homological algebra
300:Goerss, P. G.; Jardine, J. F. (1999).
7:
357:
355:
14:
273:Commentarii Mathematici Helvetici
359:
23:
16:Mathematical concept in topology
258:, Ch 3. Proposition 2.20)
174:
152:
78:is a simplicial object in the
1:
375:. You can help Knowledge by
250:Paul Goerss and
232:Simplicial commutative ring
198:simplicial commutative ring
35:Simplicial commutative ring
32:It has been suggested that
443:
354:
302:Simplicial Homotopy Theory
82:. A simplicial group is a
80:category of abelian groups
222:from these observations.
49:Proposed since July 2024.
220:Kirchhoff's circuit laws
124:Eilenberg–MacLane spaces
76:simplicial abelian group
216:harmonic representative
92:Dold–Kan correspondence
371:-related article is a
184:
112:
185:
113:
130:
102:
86:(in particular, its
42:into this article. (
120:homotopy equivalent
118:is non-canonically
286:10.1007/BF02566245
194:commutative monoid
180:
148:
108:
72:category of groups
427:Mathematics stubs
384:
383:
311:978-3-7643-6064-1
133:
111:{\displaystyle A}
90:make sense). The
68:simplicial object
56:
55:
51:
434:
405:
398:
391:
363:
356:
335:simplicial group
315:
296:
259:
248:
208:cohomology class
189:
187:
186:
181:
164:
163:
147:
122:to a product of
117:
115:
114:
109:
64:simplicial group
47:
27:
26:
19:
442:
441:
437:
436:
435:
433:
432:
431:
422:Simplicial sets
412:
411:
410:
409:
352:
331:
312:
299:
266:
263:
262:
249:
245:
240:
228:
212:Kähler manifold
155:
128:
127:
100:
99:
88:homotopy groups
74:. Similarly, a
60:simplicial sets
52:
28:
24:
17:
12:
11:
5:
440:
438:
430:
429:
424:
414:
413:
408:
407:
400:
393:
385:
382:
381:
364:
350:
349:
344:
330:
329:External links
327:
326:
325:
319:Charles Weibel
316:
310:
297:
261:
260:
242:
241:
239:
236:
235:
234:
227:
224:
204:Eckmann (1945)
179:
176:
173:
170:
167:
162:
158:
154:
151:
146:
143:
140:
136:
107:
54:
53:
31:
29:
22:
15:
13:
10:
9:
6:
4:
3:
2:
439:
428:
425:
423:
420:
419:
417:
406:
401:
399:
394:
392:
387:
386:
380:
378:
374:
370:
365:
362:
358:
353:
348:
345:
343:
341:
336:
333:
332:
328:
324:
320:
317:
313:
307:
303:
298:
295:
291:
287:
283:
279:
275:
274:
269:
268:Eckmann, Beno
265:
264:
257:
253:
247:
244:
237:
233:
230:
229:
225:
223:
221:
217:
214:has a unique
213:
209:
205:
201:
199:
195:
190:
177:
171:
168:
165:
160:
156:
149:
144:
141:
138:
134:
125:
121:
105:
97:
96:chain complex
93:
89:
85:
81:
77:
73:
69:
65:
61:
50:
45:
41:
37:
36:
30:
21:
20:
377:expanding it
366:
351:
339:
322:
301:
277:
271:
252:Rick Jardine
246:
218:and deduces
202:
191:
75:
63:
57:
48:
33:
369:mathematics
280:: 240–255,
84:Kan complex
416:Categories
238:References
157:π
142:≥
135:∏
226:See also
337:at the
294:0013318
254: (
70:in the
44:Discuss
308:
292:
40:merged
367:This
210:on a
66:is a
373:stub
306:ISBN
256:1999
62:, a
342:Lab
282:doi
38:be
418::
321:,
290:MR
288:,
278:17
276:,
200:.
192:A
126:,
404:e
397:t
390:v
379:.
340:n
314:.
284::
178:.
175:)
172:i
169:,
166:A
161:i
153:(
150:K
145:0
139:i
106:A
46:)
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.