| 000 | 02733nam a22004095i 4500 | ||
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| 001 | 978-0-387-24222-4 | ||
| 003 | DE-He213 | ||
| 005 | 20250710083931.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 100301s2005 xxu| s |||| 0|eng d | ||
| 020 |
_a9780387242224 _a99780387242224 |
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| 024 | 7 |
_a10.1007/b104891 _2doi |
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| 082 | 0 | 4 |
_a511.33 _223 |
| 100 | 1 |
_aHarzheim, Egbert. _eauthor. |
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| 245 | 1 | 0 |
_aOrdered Sets _h[recurso electrónico] / _cby Egbert Harzheim. |
| 264 | 1 |
_aBoston, MA : _bSpringer US, _c2005. |
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| 300 |
_aXII, 386 p. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_arecurso en línea _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
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| 490 | 1 |
_aAdvances in Mathematics ; _v7 |
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| 505 | 0 | _aFundamental notions of set theory -- Fundamental notions -- General relations between posets and their chains and antichains -- Linearly ordered sets -- Products of orders -- Universally ordered sets -- Applications of the splitting method -- The dimension of posets -- Well-founded posets, pwo-sets and trees -- On the order structure of power sets -- Comparison of order types -- Comparability graphs. | |
| 520 | _aThe textbook literature on ordered sets is still rather limited. A lot of material is presented in this book that appears now for the first time in a textbook. Order theory works with combinatorial and set-theoretical methods, depending on whether the sets under consideration are finite or infinite. In this book the set-theoretical parts prevail. The book treats in detail lexicographic products and their connections with universally ordered sets, and further it gives thorough investigations on the structure of power sets. Other topics dealt with include dimension theory of ordered sets, well-quasi-ordered sets, trees, combinatorial set theory for ordered sets, comparison of order types, and comparibility graphs. Audience This book is intended for mathematics students and for mathemeticians who are interested in set theory. Only some fundamental parts of naïve set theory are presupposed. Since all proofs are worked out in great detail, the book should be suitable as a text for a course on order theory. | ||
| 650 | 0 | _aMATHEMATICS. | |
| 650 | 0 | _aALGEBRA. | |
| 650 | 1 | 4 | _aMATHEMATICS. |
| 650 | 2 | 4 | _aORDER, LATTICES, ORDERED ALGEBRAIC STRUCTURES. |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9780387242194 |
| 830 | 0 |
_aAdvances in Mathematics ; _v7 |
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| 856 | 4 | 0 |
_uhttp://dx.doi.org/10.1007/b104891 _zVer el texto completo en las instalaciones del CICY |
| 912 | _aZDB-2-SMA | ||
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_2ddc _cER |
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_c56317 _d56317 |
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