93:
that is centered. Here a subset of a poset is called centered if for any finite subset there is an element of the poset less than or equal to all of them.
112:
55:
66:
166:
108:
25:
126:
150:
122:
146:
130:
118:
32:
160:
107:, Studies in Logic, vol. 34, London: College Publications,
137:
Shanin, N. A. (1948), "On the product of topological spaces",
54:of these subsets. This concept was introduced by
8:
81:such that for any collection of elements of
89:, there is a subcollection of cardinality
59:
7:
14:
65:There is a similar concept for
1:
38:such that for every set of
183:
139:Trudy Mat. Inst. Steklov.
42:nonempty open subsets of
103:Kunen, Kenneth (2011),
46:there is some point of
16:In mathematics, the
114:978-1-84890-050-9
26:topological space
174:
153:
133:
182:
181:
177:
176:
175:
173:
172:
171:
157:
156:
136:
115:
102:
99:
12:
11:
5:
180:
178:
170:
169:
159:
158:
155:
154:
134:
113:
98:
95:
77:is a cardinal
13:
10:
9:
6:
4:
3:
2:
179:
168:
165:
164:
162:
152:
148:
144:
140:
135:
132:
128:
124:
120:
116:
110:
106:
101:
100:
96:
94:
92:
88:
84:
80:
76:
72:
68:
63:
61:
57:
53:
50:contained in
49:
45:
41:
37:
34:
30:
27:
23:
19:
142:
138:
104:
90:
86:
82:
78:
74:
70:
64:
51:
47:
43:
39:
35:
28:
21:
17:
15:
85:indexed by
73:of a poset
71:pre-caliber
131:1262.03001
105:Set theory
97:References
167:Topology
161:Category
33:cardinal
151:0027310
123:2905394
58: (
22:calibre
18:caliber
149:
129:
121:
111:
67:posets
56:Shanin
31:is a
24:of a
109:ISBN
69:. A
60:1948
127:Zbl
62:).
20:or
163::
147:MR
145:,
143:24
141:,
125:,
119:MR
117:,
91:κ
87:κ
83:P
79:κ
75:P
52:κ
48:X
44:X
40:κ
36:κ
29:X
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.