G. Wu, M. M. Yamaleev, “Isolation: motivations and applications”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2012, Volume 154, Book 2,Pages <nobr>204

This article is cited in 1 paper

Isolation: motivations and applications

G. Wu^a, M. M. Yamaleev^ab

^a School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore
^b Lobachevsky Institute of Mathematics and Mechanics, Kazan Federal University, Kazan, Russia

Abstract: In this paper, we briefly review the origins of the isolation phenomenon and its applications. We discuss a stronger notion of double bubbles. We also show recent achievements in the study of lattice embeddings with the help of the isolation property.

Keywords: Turing degrees, Ershov hierarchy, isolated degrees, lattice embeddings.

UDC: 510.532

Received: 01.02.2012

Language: English