Analytic Groups and Pushing Small Sets Apart
نویسنده
چکیده
We say that a space X has the separation property provided that if A and B are subsets of X with A countable and B first category, then there is a homeomorphism f : X → X such that f(A) ∩ B = ∅. We prove that a Borel space with this property is Polish. Our main result is that if the homeomorphisms needed in the separation property for the space X come from the homeomorphisms given by an action of an analytic group, then X is Polish. Several examples are also presented.
منابع مشابه
Zeros of Random Analytic Functions
Zeros of Random Analytic Functions The dominant theme of this thesis is that random matrix valued analytic functions, generalizing both random matrices and random analytic functions, for many purposes can (and perhaps should) be effectively studied in that level of generality. We study zeros of random analytic functions in one complex variable. It is known that there is a one parameter family o...
متن کاملA Humanoid Robot Pushing Model Inspired by Human Motion
A Humanoid Robot Pushing Model Inspired by Human Motion Alexander N. Alspach Paul Y. Oh, Ph.D. This thesis explores an observed method used by humans when pushing a large object of unknown mass. Body motion and reaction forces are analyzed for feet-apart pushing with varying stance length. It is found that, via articulation of the waist, a human will push their static zero-moment point (ZMP) as...
متن کاملComparison of managed and spontaneous maternal pushing, on pain and duration of the second stage of labor in primipara women
Background & Aim: Despite the complications of the Managing active second stage delivery, this method is still used. In recent studies, it seems that Spontaneous pushing will reduce the Complications of delivery. Therefore, this study examines pain and duration of the second stage of labor in these two methods. Methods: This single blind semi experimental study was accomplished on 60 qualified...
متن کاملPulling, Pushing, and Grouping for Image Segmentation
This paper presents a novel computational visual grouping method, termed pulling, pushing and grouping, or PPG for short. Visual grouping is formulated as a functional optimisation process. Our computational function has three terms, the first pulls similar visual cues together, the second pushes different visual cues apart, and the third groups spatially adjacent visual cues without regarding ...
متن کاملWe, the Professional Sages: Analytic philosophy’s arrogation of argument
One claim reiterated with increasing boldness by the “analytic” tradition in philosophy is that what sets it apart from long-time rivals is a shared adherence to proper norms of argumentation. Gradated deviancy from this (supposedly univocal) canon by English-speaking practitioners has therefore raised important questions about who can repair under the banner “professional philosopher.” We will...
متن کامل