Introduction to axiomatic set theory, gaisi takeuti, wilson m zaring 1

Graduate Texts in Mathematics Managing Editor: P R Halmos G Takeuti W.M Zaring Introduction to Axiomatic Set Theory Springer-Verlag Berlin Heidelberg GmbH Gaisi Takeuti Professor of Mathematics, University of Illinois Wilson M Zaring Associate Professor of Mathematics, University of Illinois AMS Subject Classifications (1970): 02K15, 04-01, 02K05 ISBN 978-0-387-05302-8 ISBN 978-1-4684-9915-5 (eBook) DOI 10.1007/978-1-4684-9915-5 This work is subject to copyright All rights are reserved, whether the whole or part of the material is concerned, specifically those of translation, reprinting, re-use of illustrations broadcasting, reproduction by photocopying machine or similar means, and storage in data banks Under § 54 of the German Copyright Law where copies are made for other than private use, a fee is payable to the publisher the amount of the fee to be determined by agreement with the publisher B 25 F: A onto' B 25 ocfJ 53 oc P 57 25 25 ROrA 26 RPoA 26 R-1A 26 RFrA 27 10 A,B,C 12 A=B 12 4t(A) 13 '11'i(A) 13 Ru Ro 48 Jo 48 F:A~B F: A ~;,~, B a=b {X I (iJ(X)} (iJ* 40 Orf(G) 44 Smo(G) 44 Le 48 11 (iJ(oc)) 24 A'b 24 3! ,x1 , ••• b, C, 21 21 22 22 22 E 27 RWfrA 14 14 18 a~b a 27 35 37 i,j, k, , m, n (1;1 i) (iJ(i) 38 (3i) (iJ(i) 38 n(A) 40 suprA), infrA) sup (A), infrA)

P 73 67 68 71 Fin(a), Inf(a) N 79 N' 81 ~,~ ab 81 75 81 cof(oc, fJ) 82 cf(oc) 84 Reg(oc) 85 Sing(oc) 85 Inaccw(~.) Inacc(~.) AC 87 WOP 88 max(oc, fJ) 35 oc+l 37 K"K II 37 w St(A) 66 R(oc) 66 rank(a) Ord(A) 32 oc, fJ, y 35 (1;1 oc) (iJ(oc) 35 (:Joc) (iJ(oc) 35 oc