000			03206nam a22004935i 4500
001			978-3-540-68338-4
003			DE-He213
005			20160624101832.0
007			cr nn 008mamaa
008			121227s1997 gw | s |||| 0|eng d
020			_a9783540683384 _9978-3-540-68338-4
024	7		_a10.1007/BFb0096295 _2doi
050		4	_aQA611-614.97
072		7	_aPBP _2bicssc
072		7	_aMAT038000 _2bisacsh
082	0	4	_a514 _223
100	1		_aTodorcevic, Stevo. _eauthor.
245	1	0	_aTopics in Topology _h[electronic resource] / _cby Stevo Todorcevic.
260		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c1997.
264		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c1997.
300			_aVIII, 160 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aLecture Notes in Mathematics, _x0075-8434 ; _v1652
505	0		_aContents: Topology of pointwise convergence -- A theorem of Eberlein -- Ptak's Lemma -- Namioka's theorem -- Rosenthal's theorem -- Properties of Baire and Ramsey -- Baire property of analytic sets -- Baire property of filters and ideals -- Selective coideals -- Baire's characterization theorem and its corollaries -- Borel sets -- A selective analytic ideal -- Bourgain-Fremlin-Talagrand's theorem -- A space of ultrafilters -- Glazer's theorem -- A topological proof of van der Waerden theorem -- A semigroup of variable words -- Countable chain conditions of topological groups -- Michael's selection theorem -- Inverse systems -- Haydon's theorem -- Quotient groups -- A decomposition of compact groups -- Pestov's theorems -- Free topological groups -- Exponentially complete spaces -- Vaught's homeomorphism theorem -- Resolving a space: Accumulation orders and spectra -- Accumulation spectra of hyperspaces -- List of all exponentials -- Multiplication of accumulation orders.
520			_aThe book describes some interactions of topology with other areas of mathematics and it requires only basic background. The first chapter deals with the topology of pointwise convergence and proves results of Bourgain, Fremlin, Talagrand and Rosenthal on compact sets of Baire class-1 functions. In the second chapter some topological dynamics of beta-N and its applications to combinatorial number theory are presented. The third chapter gives a proof of the Ivanovskii-Kuzminov-Vilenkin theorem that compact groups are dyadic. The last chapter presents Marjanovic's classification of hyperspaces of compact metric zerodimensional spaces.
650		0	_aMathematics.
650		0	_aTopological Groups.
650		0	_aTopology.
650	1	4	_aMathematics.
650	2	4	_aTopology.
650	2	4	_aTopological Groups, Lie Groups.
650	2	4	_aReal Functions.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783540626114
786			_dSpringer
830		0	_aLecture Notes in Mathematics, _x0075-8434 ; _v1652
856	4	0	_uhttp://dx.doi.org/10.1007/BFb0096295
942			_2EBK1772 _cEBK
999			_c31066 _d31066