259:
300:
61:
145:
97:
293:
329:
286:
181:
319:
246:
228:
241:
223:
64:
68:
266:
236:
218:
21:
324:
206:
150:
30:
190:
154:
115:
202:
198:
100:
73:
179:
Kervaire, Michel (1960), "A manifold which does not admit any differentiable structure",
270:
108:
313:
210:
166:
17:
153:
to the result. In 10 dimensions this gives a piecewise-linear manifold with no
112:
258:
194:
274:
118:
76:
33:
139:
91:
55:
294:
8:
301:
287:
117:
75:
38:
32:
104:
7:
255:
253:
14:
182:Commentarii Mathematici Helvetici
257:
134:
119:
1:
273:. You can help Knowledge by
330:Differential geometry stubs
242:Encyclopedia of Mathematics
224:Encyclopedia of Mathematics
107:) by plumbing together the
346:
252:
65:piecewise-linear manifold
235:Shtan'ko, M.A. (2001) ,
217:Shtan'ko, M.A. (2001) ,
56:{\displaystyle K^{4n+2}}
269:-related article is a
141:
140:{\displaystyle (2n+1)}
93:
57:
320:Differential topology
267:differential geometry
142:
94:
58:
22:differential topology
237:"Dendritic manifold"
219:"Kervaire invariant"
149:, and then gluing a
116:
92:{\displaystyle 4n+2}
74:
31:
101:Michel Kervaire
195:10.1007/BF02565940
137:
89:
53:
20:, specifically in
282:
281:
26:Kervaire manifold
337:
303:
296:
289:
261:
254:
249:
231:
213:
155:smooth structure
146:
144:
143:
138:
98:
96:
95:
90:
62:
60:
59:
54:
52:
51:
345:
344:
340:
339:
338:
336:
335:
334:
310:
309:
308:
307:
234:
216:
178:
175:
163:
114:
113:
109:tangent bundles
99:constructed by
72:
71:
34:
29:
28:
12:
11:
5:
343:
341:
333:
332:
327:
322:
312:
311:
306:
305:
298:
291:
283:
280:
279:
262:
251:
250:
232:
214:
174:
171:
170:
169:
162:
159:
136:
133:
130:
127:
124:
121:
88:
85:
82:
79:
50:
47:
44:
41:
37:
13:
10:
9:
6:
4:
3:
2:
342:
331:
328:
326:
323:
321:
318:
317:
315:
304:
299:
297:
292:
290:
285:
284:
278:
276:
272:
268:
263:
260:
256:
248:
244:
243:
238:
233:
230:
226:
225:
220:
215:
212:
208:
204:
200:
196:
192:
188:
184:
183:
177:
176:
172:
168:
167:Exotic sphere
165:
164:
160:
158:
156:
152:
148:
131:
128:
125:
122:
110:
106:
102:
86:
83:
80:
77:
70:
66:
48:
45:
42:
39:
35:
27:
23:
19:
275:expanding it
264:
240:
222:
186:
180:
25:
15:
189:: 257–270,
18:mathematics
314:Categories
173:References
325:Manifolds
247:EMS Press
229:EMS Press
211:120977898
69:dimension
161:See also
147:-spheres
203:0139172
111:of two
103: (
209:
201:
265:This
207:S2CID
63:is a
271:stub
151:ball
105:1960
24:, a
191:doi
67:of
16:In
316::
245:,
239:,
227:,
221:,
205:,
199:MR
197:,
187:34
185:,
157:.
302:e
295:t
288:v
277:.
193::
135:)
132:1
129:+
126:n
123:2
120:(
87:2
84:+
81:n
78:4
49:2
46:+
43:n
40:4
36:K
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.