000			01826nam a22001937a 4500
008			160402b1960 xxu||||| |||| 00| 0 eng d
020			_a9780486401799
082			_a513.83 ALE-P
100			_aAlexandrov, P. S.
245			_aCombinatorial topology : _bVolumes 1, 2 and 3 ; three volumes bound as one / _cP. S. Alexandrov
260			_aNew York _bDover Publications _c1960
300			_a3 volumes in 1 (xvi, 225; ix, 244; vi, 148 pages) _billustrations ; 22 cm.
365			_aUSD _b49.95
440			_aDover books on mathematics
500			_aReaders seeking knowledge of topology through a systematic study of its essentials need look no further than this excellent text for graduate students specializing in topology or any other related branch of mathematics. Originally published in three volumes, this comprehensive introduction to modern homology theory is geared toward those familiar with general set-theoretic and algebraic concepts. Fundamental topological facts, together with detailed explanations of the necessary technical apparatus, make this three-art volume an invaluable tool for achieving a thorough background in topology. Part one deals with certain classic problems such as the Jordan curve theorem and the classification of closed surfaces without using the formal techniques of homology theory; parts two and three focus on the central concept of combinatorial topology, the Betti groups. This clearly written, well-organized text offers a remarkably coherent introduction to combinatorial topology. Its concise definitions and numerous detailed examples assure readers of a confident grasp of this complex subject, an area of vital importance in modern mathematics.
650			_aCombinatorial topology
650			_aHomologietheorie ; SWD-ID: 41417148
650			_aKombinatorische Topologie.
999			_c23460 _d23460