000 | 03483nam a22005055i 4500 | ||
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001 | 978-3-540-68338-4 | ||
003 | DE-He213 | ||
005 | 20190213151605.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1997 gw | s |||| 0|eng d | ||
020 |
_a9783540683384 _9978-3-540-68338-4 |
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024 | 7 |
_a10.1007/BFb0096295 _2doi |
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050 | 4 | _aQA611-614.97 | |
072 | 7 |
_aPBP _2bicssc |
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072 | 7 |
_aMAT038000 _2bisacsh |
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072 | 7 |
_aPBP _2thema |
|
082 | 0 | 4 |
_a514 _223 |
100 | 1 |
_aTodorcevic, Stevo. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
245 | 1 | 0 |
_aTopics in Topology _h[electronic resource] / _cby Stevo Todorcevic. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1997. |
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300 |
_aVIII, 160 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1652 |
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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 | _aTopology. | |
650 | 0 | _aTopological Groups. | |
650 | 0 | _aMathematics. | |
650 | 1 | 4 |
_aTopology. _0http://scigraph.springernature.com/things/product-market-codes/M28000 |
650 | 2 | 4 |
_aTopological Groups, Lie Groups. _0http://scigraph.springernature.com/things/product-market-codes/M11132 |
650 | 2 | 4 |
_aReal Functions. _0http://scigraph.springernature.com/things/product-market-codes/M12171 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662190845 |
776 | 0 | 8 |
_iPrinted edition: _z9783540626114 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1652 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0096295 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c11208 _d11208 |