Elsevier Science 12/15/2000 12: 00: 00 AM Rev ed. Hardcover PLEASE NOTE, WE DO NOT SHIP TO DENMARK. New Book. Shipped from US in 4 to 14 days. Established seller since 2000. Please note we cannot offer an expedited shipping service from the US.

Elsevier Science 12/15/2000 12: 00: 00 AM Rev ed. Hardcover New Book. Shipped from US in 4 to 14 days. Established seller since 2000. Please note we cannot offer an expedited shipping service from the US.

North Holland, Date: 2000. Hardcover. New. revised subsequent edition. 451 pages. 9.00x6.00x1.00 inches. 2000. North Holland ISBN 0444505423 9780444505422 [GB]

ISBN10: 0444505423, ISBN13: 9780444505422, [publisher: Elsevier Science] Hardcover nach der Bestellung gedruckt Neuware - Printed after ordering - Relation theory originates with Hausdorff (Mengenlehre 1914) and Sierpinski (Nombres transfinis, 1928) with the study of order types, specially among chains = total orders = linear orders. One of its first important problems was partially solved by Dushnik, Miller 1940 who, starting from the chain of reals, obtained an infinite strictly decreasing sequence of chains (of continuum power) with respect to embeddability. In 1948 I conjectured that every strictly decreasing sequence of denumerable chains is finite. This was affirmatively proved by Laver (1968), in the more general case of denumerable unions of scattered chains (ie: which do not embed the chain Q of rationals), by using the barrier and the better orderin gof Nash-Williams (1965 to 68). Another important problem is the extension to posets of classical properties of chains. For instance one easily sees that a chain A is scattered if the chain of inclusion of its initial intervals is itself scattered (6.1.4). Let us again define a scattered poset A by the non-embedding of Q in A. We say that A is finitely free if every antichain restriction of A is finite (antichain = set of mutually incomparable elements of the base). In 1969 Bonnet and Pouzet proved that a poset A is finitely free and scattered iff the ordering of inclusion of initial intervals of A is scattered. ...
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Amsterdam, Netherlands North-Holland 2000 Rev ed. Hard cover New. Sewn binding. Cloth over boards. 456 p. Contains: Illustrations. Studies in Logic and the Foundations of Mathematics, 145.

ISBN10: 0444505423, ISBN13: 9780444505422, [publisher: North Holland] Hardcover New.
[liverpool, United Kingdom] [Publication Year: 2000]