237:
98:
32:
158:
192:
174:
63:
47:
28:
43:
208:
166:
222:
186:
219:
183:
109:
162:
231:
178:
101:
79:
40:
213:
196:
20:
170:
149:
Stallings, John (1962). "The piecewise-linear structure of
Euclidean space".
36:
123:
under a map that is piecewise linear except possibly at a single point
87:
39:
greater than or equal to five. It is named after the
8:
212:
135:} is piecewise linearly homeomorphic to
197:"The generalised Poincaré conjecture"
7:
14:
214:10.1090/S0002-9904-1961-10578-8
238:Theorems in algebraic topology
1:
74: ≥ 5. Suppose that
16:Result in algebraic topology
151:Proc. Cambridge Philos. Soc
31:, used in the proof of the
254:
171:10.1017/s0305004100036756
54:Statement of the theorem
25:Stallings–Zeeman theorem
201:Bull. Amer. Math. Soc
193:Zeeman, Christopher
163:1962PCPS...58..481S
119:is homeomorphic to
33:Poincaré conjecture
99:piecewise linearly
64:simplicial complex
48:Christopher Zeeman
29:algebraic topology
66:of dimension dim(
44:John R. Stallings
245:
218:
216:
182:
253:
252:
248:
247:
246:
244:
243:
242:
228:
227:
191:
148:
145:
110:Euclidean space
56:
27:is a result in
17:
12:
11:
5:
251:
249:
241:
240:
230:
229:
226:
225:
189:
157:(3): 481–488.
144:
141:
131: \ {
70:) =
55:
52:
41:mathematicians
15:
13:
10:
9:
6:
4:
3:
2:
250:
239:
236:
235:
233:
224:
221:
215:
210:
206:
202:
198:
194:
190:
188:
185:
180:
176:
172:
168:
164:
160:
156:
152:
147:
146:
142:
140:
138:
134:
130:
126:
122:
118:
114:
111:
108:-dimensional
107:
103:
100:
96:
92:
89:
86:-dimensional
85:
81:
80:homotopy type
77:
73:
69:
65:
61:
53:
51:
49:
45:
42:
38:
34:
30:
26:
22:
204:
200:
154:
150:
136:
132:
128:
124:
120:
116:
112:
105:
102:homeomorphic
94:
90:
83:
75:
71:
67:
62:be a finite
59:
57:
24:
18:
127:. That is,
97:is locally
21:mathematics
207:(3): 270.
143:References
179:120418488
93:and that
37:dimension
232:Category
195:(1961).
78:has the
223:0124906
187:0149457
159:Bibcode
115:. Then
82:of the
177:
88:sphere
23:, the
175:S2CID
58:Let
46:and
35:for
209:doi
167:doi
104:to
19:In
234::
220:MR
205:67
203:.
199:.
184:MR
173:.
165:.
155:58
153:.
139:.
50:.
217:.
211::
181:.
169::
161::
137:R
133:x
129:M
125:x
121:S
117:M
113:R
106:m
95:M
91:S
84:m
76:M
72:m
68:M
60:M
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.