MARC details
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05297cam a2200877Ma 4500 |
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ocn173610091 |
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OCoLC |
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20220712211625.0 |
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m o d |
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040115s2004 enk ob 001 0 eng d |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER |
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| LC control number |
2004040788 |
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COCUF |
| Language of cataloging |
eng |
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pn |
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| 016 7# - NATIONAL BIBLIOGRAPHIC AGENCY CONTROL NUMBER |
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013021304. |
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Uk |
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70916499 |
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144525552 |
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171124195 |
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271787473 |
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| International Standard Book Number |
0511212038 |
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9780511212031 |
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0521839203 |
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9780521839204 |
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| International Standard Book Number |
0511217404 |
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(electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9780511217401 |
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(electronic bk.) |
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0511215614 |
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(electronic bk.) |
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| International Standard Book Number |
9780511215612 |
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(electronic bk.) |
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0511546459 |
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(electronic book) |
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9780511546457 |
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(electronic book) |
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051131597X |
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(e-book) |
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| International Standard Book Number |
9780511315978 |
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(e-book) |
| 029 1# - (OCLC) |
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| OCLC library identifier |
AU@ |
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000042831721 |
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AU@ |
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000053234248 |
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AU@ |
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000062568467 |
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DEBBG |
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BV044083866 |
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NZ1 |
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12046602 |
| 035 ## - SYSTEM CONTROL NUMBER |
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| System control number |
(OCoLC)173610091 |
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(OCoLC)70916499 |
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(OCoLC)144525552 |
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(OCoLC)171124195 |
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(OCoLC)271787473 |
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(OCoLC)478444251 |
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(OCoLC)488329870 |
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(OCoLC)560239643 |
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(OCoLC)647520269 |
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(OCoLC)668201027 |
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(OCoLC)845016681 |
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(OCoLC)888561918 |
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(OCoLC)961512436 |
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(OCoLC)962709867 |
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(OCoLC)1037498366 |
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(OCoLC)1172029712 |
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(OCoLC)1180917556 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA248 |
| Item number |
.C473 2004eb |
| 072 #7 - SUBJECT CATEGORY CODE |
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| Subject category code |
MAT |
| Subject category code subdivision |
028000 |
| Source |
bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
511.3/22 |
| Edition number |
22 |
| 049 ## - LOCAL HOLDINGS (OCLC) |
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| Holding library |
MAIN |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Ciesielski, Krzysztof, |
| Dates associated with a name |
1957- |
| 9 (RLIN) |
162591 |
| 245 14 - TITLE STATEMENT |
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| Title |
The Covering property Axiom, CPA : |
| Remainder of title |
a combinatorial core of the iterated perfect set model / |
| Statement of responsibility, etc |
Krzysztof Ciesielski, Janusz Pawlikowski. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc |
Cambridge, UK ; |
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New York : |
| Name of publisher, distributor, etc |
Cambridge University Press, |
| Date of publication, distribution, etc |
2004. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
1 online resource (xxi, 174 pages) |
| 336 ## - |
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text |
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txt |
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rdacontent |
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computer |
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rdamedia |
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online resource |
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rdacarrier |
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data file |
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rda |
| 490 1# - SERIES STATEMENT |
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| Series statement |
Cambridge tracts in mathematics ; |
| Volume number/sequential designation |
164 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references (pages 165-171) and index. |
| 588 0# - |
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Print version record. |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
1. 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 ## - SUMMARY, ETC. |
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| Summary, etc |
Here 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. |
| 590 ## - LOCAL NOTE (RLIN) |
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| Local note |
eBooks on EBSCOhost |
| Provenance (VM) [OBSOLETE] |
EBSCO eBook Subscription Academic Collection - Worldwide |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Axiomatic set theory. |
| 9 (RLIN) |
34747 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Set theory. |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Théorie axiomatique des ensembles. |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Théorie des ensembles. |
| 9 (RLIN) |
879660 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
MATHEMATICS |
| General subdivision |
Set Theory. |
| Source of heading or term |
bisacsh |
| 9 (RLIN) |
895714 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Axiomatic set theory. |
| Source of heading or term |
fast |
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(OCoLC)fst00824491 |
| 9 (RLIN) |
34747 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Set theory. |
| Source of heading or term |
fast |
| -- |
(OCoLC)fst01113587 |
| 655 #0 - INDEX TERM--GENRE/FORM |
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| Genre/form data or focus term |
Electronic books. |
| 655 #4 - INDEX TERM--GENRE/FORM |
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| Genre/form data or focus term |
Electronic books. |
| 655 #7 - INDEX TERM--GENRE/FORM |
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| Genre/form data or focus term |
Electronic books. |
| Source of term |
lcgft |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Pawlikowski, Janusz, |
| Dates associated with a name |
1957- |
| 9 (RLIN) |
162592 |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
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| Display text |
Print version: |
| Main entry heading |
Ciesielski, Krzysztof, 1957- |
| Title |
Covering property Axiom, CPA. |
| Place, publisher, and date of publication |
Cambridge, UK ; New York : Cambridge University Press, 2004 |
| Record control number |
(DLC) 2004040788 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
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| Uniform title |
Cambridge tracts in mathematics ; |
| Volume number/sequential designation |
164. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
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| Uniform Resource Identifier |
<a href="https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=164388">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=164388</a> |
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Askews and Holts Library Services |
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