000			02516nam a22003498i 4500
001			CR9780511721380
003			UkCbUP
005			20200124160241.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			100303s2008||||enk o ||1 0|eng|d
020			_a9780511721380 (ebook)
020			_z9780521875561 (hardback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA611.3 _b.N575 2008
082	0	0	_a514/.3 _222
100	1		_aNishiura, Togo, _d1931- _eauthor.
245	1	0	_aAbsolute measurable spaces / _cTogo Nishiura.
264		1	_aCambridge : _bCambridge University Press, _c2008.
300			_a1 online resource (xii, 274 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aEncyclopedia of mathematics and its applications ; _vvolume 120
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0		_aThe absolute property -- The universally measurable property -- The homeomorphism group of X -- Real-valued functions -- Hausdorff measure and dimension -- Martin axiom -- Appendix A. Preliminary material -- Appendix B. Probability theoretic approach -- Appendix C. Cantor spaces -- Appendix D. Dimensions and measures.
520			_aAbsolute measurable space and absolute null space are very old topological notions, developed from well-known facts of descriptive set theory, topology, Borel measure theory and analysis. This monograph systematically develops and returns to the topological and geometrical origins of these notions. Motivating the development of the exposition are the action of the group of homeomorphisms of a space on Borel measures, the Oxtoby-Ulam theorem on Lebesgue-like measures on the unit cube, and the extensions of this theorem to many other topological spaces. Existence of uncountable absolute null space, extension of the Purves theorem and recent advances on homeomorphic Borel probability measures on the Cantor space, are among the many topics discussed. A brief discussion of set-theoretic results on absolute null space is given, and a four-part appendix aids the reader with topological dimension theory, Hausdorff measure and Hausdorff dimension, and geometric measure theory.
650		0	_aTopological spaces.
776	0	8	_iPrint version: _z9780521875561
830		0	_aEncyclopedia of mathematics and its applications ; _vv. 120.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511721380
999			_c518582 _d518580