000			02894nam a22004458a 4500
001			CR9780511629358
003			UkCbUP
005			20160624102301.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			090918s1993||||enk s ||1 0|eng|d
020			_a9780511629358 (ebook)
020			_z9780521447003 (paperback)
040			_aUkCbUP _cUkCbUP _erda
050	0	0	_aQA612.7 _b.T96 1993
082	0	0	_a514/.24 _220
245	0	0	_aTwo-Dimensional Homotopy and Combinatorial Group Theory / _cEdited by Cynthia Hog-Angeloni, Wolfgang Metzler, Allan J. Sieradski.
246	3		_aTwo-Dimensional Homotopy & Combinatorial Group Theory
260		1	_aCambridge : _bCambridge University Press, _c1993.
264		1	_aCambridge : _bCambridge University Press, _c1993.
300			_a1 online resource (428 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	0		_aLondon Mathematical Society Lecture Note Series ; _vno. 197
500			_aTitle from publisher's bibliographic system (viewed on 16 Oct 2015).
520			_aBasic work on two-dimensional homotopy theory dates back to K. Reidemeister and J. H. C. Whitehead. Much work in this area has been done since then, and this book considers the current state of knowledge in all the aspects of the subject. The editors start with introductory chapters on low-dimensional topology, covering both the geometric and algebraic sides of the subject, the latter including crossed modules, Reidemeister-Peiffer identities, and a concrete and modern discussion of Whitehead's algebraic classification of 2-dimensional homotopy types. Further chapters have been skilfully selected and woven together to form a coherent picture. The latest algebraic results and their applications to 3- and 4-dimensional manifolds are dealt with. The geometric nature of the subject is illustrated to the full by over 100 diagrams. Final chapters summarize and contribute to the present status of the conjectures of Zeeman, Whitehead, and Andrews-Curtis. No other book covers all these topics. Some of the material here has been used in courses, making this book valuable for anyone with an interest in two-dimensional homotopy theory, from graduate students to research workers.
650		0	_aHomotopy theory
650		0	_aCombinatorial group theory
650		0	_aLow-dimensional topology
650		0	_aAlgebraic topology
700	1		_aHog-Angeloni, Cynthia, _eeditor of compilation.
700	1		_aMetzler, Wolfgang, _eeditor of compilation.
700	1		_aSieradski, Allan J., _eeditor of compilation.
776	0	8	_iPrint version: _z9780521447003
786			_dCambridge
830		0	_aLondon Mathematical Society Lecture Note Series ; _vno. 197.
856	4	0	_uhttp://dx.doi.org/10.1017/CBO9780511629358
942			_2EBK12196 _cEBK
999			_c41490 _d41490