Homotopies and the Universal Fixed Point Property
نویسندگان
چکیده
منابع مشابه
Homotopies 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 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 کاملThe Complexity of the Fixed Point Property
It is NP-complete to determine whether a given ordered set has a fixed point free orderpreserving self-map. On the way to this result, we establish the NP-completeness of a related problem: Given ordered sets P and Q with t-tuples (PI,. ,pt) and (41,. . , qt) from P and Q respectively, is there an order-preserving map f: P + Q satisfying f(pz) > qr for each i = l,...,t? Mathematics Subject Clas...
متن کاملfixed point property for banach algebras associated to locally compact groups
در این پایان نامه به بررسی خاصیت نقطه ثابت و خاصیت نقطه ثابت برای نیم گروههای برگشت پذیر چپ روی بعضی جبرهای باناخ از جمله جبر فوریه و جبر فوریه استیلتیس پرداخته شده است. برای مثال بیان شده است که اگر گروه یک گروه فشرده موضعی با همسایگی فشرده برای عنصر همانی که تحت درونریختی ها پایاست باشد آنگاه جبر فوریه و جبر فوریه استیلتیس دارای خاصیت نقطه ثابت برای نیم گروه های برگشت پذیر چپ است اگر و تنها ا...
15 صفحه اولA Fixed Point Property and Property (t), and the Second Bounded Cohomology of Universal Lattices on Banach Spaces
In this paper, we prove that for a unital commutative and finitely generated ring A, the group G = ELn(A) has a fixed point property for affine isometric actions on B if n ≥ 4. Here B stands for any L space or any Banach space isomorphic to a Hilbert space. We also verify that the comparison map Ψ : H b (G,B) → H (G,B) from bounded to usual cohomology is injective, where G and B are same as in ...
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: Order
سال: 2014
ISSN: 0167-8094,1572-9273
DOI: 10.1007/s11083-014-9332-x