Neocompact Sets and the Fixed Point Property
نویسندگان
چکیده
منابع مشابه
The fixed point property for ordered sets
An ordered set P has the fixed point property iff every order-preserving self-map of P has a fixed point. This paper traces the chronological development of research on this property, including most recent developments and open questions. Mathematics Subject Classification 06A06
متن کاملSuper-Relational Fixed Point Property and Products in Ordered Sets
Super-relational fixed point property for ordered sets is formulated. It is weaker than the strengthened fixed point property and stronger than the product property. It is a long-standing problem whether every ordered set with the fixed point property has the product property. Several attempts have been made which solved the problem for some important classes of ordered sets. What is known may ...
متن کاملLong Sequences and Neocompact Sets
Users of non-standard methods in mathematics have always been interested in the following question: what does non-standard analysis offer the mathematical community? The issues raised by this question are neverending and there is a whole spectrum of possible answers. The paper [HK] offered an explanation from the point of view of logic, explaining how the principles used in the superstructure a...
متن کاملDismantlable Digraphs and the Fixed Point Property
In this paper, the concept of continuous multifunctions for digraphs is introduced. It turns out that a digraph multifunction is continuous if and only if it is strong. We introduce the notion of dismantlable digraphs and show that it does generalize the dismantlable graphs and posets. Generalizing various previous results, we show that any dismantlable digraph has the almost fixed point proper...
متن کاملHomotopies and the Universal Fixed Point Property
A topological space is said to have the fixed point property if every continuous self-map of it has at least one fixed point. In this text, we investigate the additional restraints imposed by the requirement that a fixed point can be chosen continuously when the self-map is varied continuously. While we are able to present a class of universal fixed point spaces, where this is always possible, ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2002
ISSN: 0022-247X
DOI: 10.1006/jmaa.2001.7760