000			03490nam a22003615i 4500
001			279393
003			MX-SnUAN
005			20160429153944.0
007			cr nn 008mamaa
008			150903s2009 xxu| o |||| 0|eng d
020			_a9780387854946 _99780387854946
024	7		_a10.1007/9780387854946 _2doi
035			_avtls000333119
039		9	_a201509030213 _bVLOAD _c201404122348 _dVLOAD _c201404092127 _dVLOAD _y201402041103 _zstaff
040			_aMX-SnUAN _bspa _cMX-SnUAN _erda
100	1		_aLipscomb, Stephen. _eautor _9303692
245	1	0	_aFractals and Universal Spaces in Dimension Theory / _cby Stephen Lipscomb.
264		1	_aNew York, NY : _bSpringer New York, _c2009.
300			_axviii, 242 páginas 91 ilustraciones, 15 ilustraciones en color. _brecurso en línea.
336			_atexto _btxt _2rdacontent
337			_acomputadora _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_aarchivo de texto _bPDF _2rda
490	0		_aSpringer Monographs in Mathematics, _x1439-7382
500			_aSpringer eBooks
505	0		_aConstruction of = -- Self-Similarity and for Finite -- No-Carry Property of -- Imbedding in Hilbert Space -- Infinite IFS with Attractor -- Dimension Zero -- Decompositions -- The Imbedding Theorem -- Minimal-Exponent Question -- The Imbedding Theorem -- 1992–2007 -Related Research -- Isotopy Moves into 3-Space -- From 2-Web IFS to 2-Simplex IFS 2-Space and the 1-Sphere -- From 3-Web IFS to 3-Simplex IFS 3-Space and the 2-Sphere.
520			_aFor metric spaces the quest for universal spaces in dimension theory spanned approximately a century of mathematical research. The history breaks naturally into two periods — the classical (separable metric) and the modern (not necessarily separable metric). While the classical theory is now well documented in several books, this is the first book to unify the modern theory (1960 – 2007). Like the classical theory, the modern theory fundamentally involves the unit interval. By the 1970s, the author of this monograph generalized Cantor’s 1883 construction (identify adjacent-endpoints in Cantor’s set) of the unit interval, obtaining — for any given weight — a one-dimensional metric space that contains rationals and irrationals as counterparts to those in the unit interval. Following the development of fractal geometry during the 1980s, these new spaces turned out to be the first examples of attractors of infinite iterated function systems — “generalized fractals.” The use of graphics to illustrate the fractal view of these spaces is a unique feature of this monograph. In addition, this book provides historical context for related research that includes imbedding theorems, graph theory, and closed imbeddings. This monograph will be useful to topologists, to mathematicians working in fractal geometry, and to historians of mathematics. It can also serve as a text for graduate seminars or self-study — the interested reader will find many relevant open problems that will motivate further research into these topics.
590			_aPara consulta fuera de la UANL se requiere clave de acceso remoto.
710	2		_aSpringerLink (Servicio en línea) _9299170
776	0	8	_iEdición impresa: _z9780387854939
856	4	0	_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-0-387-85494-6 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
942			_c14
999			_c279393 _d279393