000			03517cam a2200541Ia 4500
001			ocn316566674
003			OCoLC
005			20141103172225.0
006			m o d
007			cr cn|||||||||
008			090320s1993 ne a ob 001 0 eng d
040			_aOPELS _beng _cOPELS _dOPELS _dOCLCQ _dOCLCF _dOCLCO _dDEBBG _dUIU
020			_z9780444897404
020			_z0444897402
029	1		_aNZ1 _b15193139
029	1		_aDEBBG _bBV036962597
029	1		_aDEBSZ _b407392173
035			_a(OCoLC)316566674
037			_a120563:125995 _bElsevier Science & Technology _nhttp://www.sciencedirect.com
050		4	_aQA611.3 _b.A27 1993eb
082	0	4	_a514/.32 _222
049			_aTEFA
100	1		_aAarts, J. M.
245	1	0	_aDimension and extensions _h[electronic resource] / _cJ.M. Aarts, T. Nishiura.
260			_aAmsterdam ; _aNew York : _bNorth Holland, _c1993.
300			_a1 online resource (xii, 331 p.) : _bill.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aNorth-Holland mathematical library ; _vv. 48
520			_aTwo types of seemingly unrelated extension problems are discussed in this book. Their common focus is a long-standing problem of Johannes de Groot, the main conjecture of which was recently resolved. As is true of many important conjectures, a wide range of mathematical investigations had developed, which have been grouped into the two extension problems. The first concerns the extending of spaces, the second concerns extending the theory of dimension by replacing the empty space with other spaces. The problem of de Groot concerned compactifications of spaces by means of an adjunction of a set of minimal dimension. This minimal dimension was called the compactness deficiency of a space. Early success in 1942 lead de Groot to invent a generalization of the dimension function, called the compactness degree of a space, with the hope that this function would internally characterize the compactness deficiency which is a topological invariant of a space that is externally defined by means of compact extensions of a space. From this, the two extension problems were spawned. With the classical dimension theory as a model, the inductive, covering and basic aspects of the dimension functions are investigated in this volume, resulting in extensions of the sum, subspace and decomposition theorems and theorems about mappings into spheres. Presented are examples, counterexamples, open problems and solutions of the original and modified compactification problems.
504			_aIncludes bibliographical references (p. 315-326) and index.
588			_aDescription based on print version record.
650		0	_aDimension theory (Topology)
650		0	_aMappings (Mathematics)
650		0	_aCompactifications.
650		7	_aTopologia. _2larpcal
650		7	_aCompactifications. _2fast _0(OCoLC)fst00871290
650		7	_aDimension theory (Topology) _2fast _0(OCoLC)fst00893848
650		7	_aMappings (Mathematics) _2fast _0(OCoLC)fst01008724
655		4	_aElectronic books.
700	1		_aNishiura, Togo, _d1931-
776	0	8	_iPrint version: _aAarts, J. M. _tDimension and extensions. _dAmsterdam ; New York : North Holland, 1993 _z0444897402 _z9780444897404 _w(DLC) 92044402 _w(OCoLC)27105993
830		0	_aNorth-Holland mathematical library ; _vv. 48.
856	4	0	_3ScienceDirect _uhttp://www.sciencedirect.com/science/book/9780444897404
942			_cEB
994			_aC0 _bTEF
999			_c21785 _d21785