By A. N. Parshin (auth.), A. N. Parshin, I. R. Shafarevich (eds.)
From the reports of the 1st printing of this publication, released as quantity fifty eight of the Encyclopaedia of Mathematical Sciences:
"... This e-book may be very beneficial as a reference and consultant to researchers and graduate scholars in algebra and and topology." Acta Scientiarum Mathematicarum, Ungarn, 1994 "... The booklet lower than overview comprises monographs on geometric features of crew conception: Combinatorial team concept and basic teams" by way of D.J.Collins and H.Zieschang ...: "Some difficulties of crew concept concerning geometry" by way of R.I.Grigorchuk and P.F.Kurchanov. ... jointly, those articles shape a wide-ranging survey of combinatorial crew thought, with emphasis a great deal at the geometric roots of the topic. it will be an invaluable reference paintings for the specialist, in addition to supplying an outline of the topic for the outsider or beginner. many alternative subject matters are defined and explored, with the most effects provided yet now not proved. this enables the reader to get the flavor of those subject matters with no turning into slowed down intimately. either articles provide entire bibliographies, in order that it really is attainable to take advantage of this ebook because the place to begin for a extra exact examine of a specific subject of curiosity. ... In precis, a really attention-grabbing booklet! Bulletin of the London Mathematical Society, 1996 "... In either essays the authors provide transparent and finished definitions, examples and statements (but now not proofs) of theorems, in order that the e-book might be understood via a reader with a minimum history in crew concept or geometry. this sort of reader, desiring to determine what's recognized during this quarter, will locate this an entire and available shop of information." modern Physics, 1994 "...This survey (Part II) offers for the 1st time that difficulties in monograph shape and incidentally bargains a unifying remedy of a number of the methods to their ideas, so far as they're recognized, including tricks to open difficulties. A titbit for each reader!" Monatshefte für Mathematik, 1995
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Compatible for upper-level undergraduates, this obtainable method of set conception poses rigorous yet basic arguments. every one definition is followed via statement that motivates and explains new innovations. beginning with a repetition of the wide-spread arguments of user-friendly set conception, the extent of summary pondering progressively rises for a revolutionary raise in complexity.
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