| 000 | 02526nam a22003618i 4500 | ||
|---|---|---|---|
| 001 | CR9780511546457 | ||
| 003 | UkCbUP | ||
| 005 | 20200124160239.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 090508s2004||||enk o ||1 0|eng|d | ||
| 020 | _a9780511546457 (ebook) | ||
| 020 | _z9780521839204 (hardback) | ||
| 040 |
_aUkCbUP _beng _erda _cUkCbUP |
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| 050 | 0 | 0 |
_aQA248 _b.C473 2004 |
| 082 | 0 | 0 |
_a511.3/22 _222 |
| 100 | 1 |
_aCiesielski, Krzysztof, _d1957- _eauthor. |
|
| 245 | 1 | 4 |
_aThe Covering property Axiom, CPA : _ba combinatorial core of the iterated perfect set model / _cKrzysztof Ciesielski, Janusz Pawlikowski. |
| 264 | 1 |
_aCambridge : _bCambridge University Press, _c2004. |
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| 300 |
_a1 online resource (xxi, 174 pages) : _bdigital, PDF file(s). |
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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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| 490 | 1 |
_aCambridge tracts in mathematics ; _v164 |
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| 500 | _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). | ||
| 505 | 0 | _a1. Axiom CPA[subscript cube] and its consequences : properties (A)-(E) -- 2. Games and axiom CPA[subscript cube][superscript game] -- 3. Prisms and axioms CPA[subscript prism][superscript game] and CPA[subscript prism] -- 4. CPA[subscript prism] and coverings with smooth functions -- 5. Applications of CPA[subscript prism][superscript game] -- 6. CPA and properties (F[superscript *]) and (G) -- 7. CPA in the Sacks model. | |
| 520 | _aHere the authors formulate and explore a new axiom of set theory, CPA, the Covering Property Axiom. CPA is consistent with the usual ZFC axioms, indeed it is true in the iterated Sacks model and actually captures the combinatorial core of this model. A plethora of results known to be true in the Sacks model easily follow from CPA. Replacing iterated forcing arguments with deductions from CPA simplifies proofs, provides deeper insight, and leads to new results. One may say that CPA is similar in nature to Martin's axiom, as both capture the essence of the models of ZFC in which they hold. The exposition is self contained and there are natural applications to real analysis and topology. Researchers who use set theory in their work will find much of interest in this book. | ||
| 650 | 0 | _aAxiomatic set theory. | |
| 700 | 1 |
_aPawlikowski, Janusz, _d1957- _eauthor. |
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| 776 | 0 | 8 |
_iPrint version: _z9780521839204 |
| 830 | 0 |
_aCambridge tracts in mathematics ; _v164. |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1017/CBO9780511546457 |
| 999 |
_c518323 _d518321 |
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