E Book

Ordered Sets

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Fundamental 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.The 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.

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Ketersediaan

Informasi Detail

Judul Seri

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No. Panggil

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Penerbit

Boston : Springer., 2005

Deskripsi Fisik

XII, 386 p.online resource.

Bahasa

English

ISBN/ISSN

9780387242224

Klasifikasi

511.33

Tipe Isi

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Tipe Media

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Tipe Pembawa

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Edisi

1st ed. 2005.

Subjek

Algebra.
Ordered algebraic structures.
Order, Lattices, Ordered Algebraic Structures.

Info Detail Spesifik

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Pernyataan Tanggungjawab

Egbert Harzheim.

Versi lain/terkait

Lampiran Berkas

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