Abstract. An ultrafilter construction is used to show that a certain infinite product of ordered sets with FPP, while connected, does not itself have FPP.
Key words: fixed point property, product, retract. 1. The Construction. In Chapter 10 of his forthcoming book, [5], B. Schröder discusses infinite products.
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An ultrafilter construction is used to show that a certain infinite product of ordered sets with FPP, while connected, does not itself have FPP.
Apr 20, 2015 · This paper introduces the fixed vertex property for graphs as a graph- theoretical generalization of the fixed point property for ordered sets ...
May 9, 2022 · A simple example is the short discussion of Rutkowski's [12] poset P9 after Corollary 2 in Section 4.2. 2 Basics and Notation. We are working ...
Roddy, On an example of Rutkowski and Schröder, Order, 19(2002), 365–366. [12] B. Schröder, The uniqueness of cores for chain-complete ordered sets, Order ...
On an Example of Rutkowski and Schröder. M. Roddy. Order 2002. 5 Citations, 5 References. Connected Papers · S2 logo Semantic Scholar ...
We present the classical dismantling procedure by Rival and extensions by Fofanova, Li, Milner, Rutkowski and the author. These theorems give a polynomial ...
Retractability and the fixed point property for products. A Rutkowski, BSW Schröder. Order 11 (4), 353-359, 1994. 17, 1994 ; On retractable sets and the fixed ...