Math 6700–point Set Topology

نویسنده

  • MICHAEL STRAYER
چکیده

Important Note: This document represents the notes I have taken during the Point Set Topology lectures of Dr. Vladimir Uspenskiy during the Fall 2013 term at Ohio University. As such, while I have done my best, I make no guarantees (or even implications) that everything contained therein is accurate or complete. While the material is obviously not my original work, this document is and as such I reserve the copyright to it. The intended purpose of this document is to help students (primarily myself) prepare for the course exams and the comprehensive exam. Anyone who wishes to use this document to study may do so without my permission, but please do not distribute it in any official capacity without my permission. To request permission or to recommend changes (or, especially, to point out errors), please email me at [email protected].

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A note on approximation conditions, standard triangularizability and a power set topology

The main result of this article is that for collections of entry-wise non-negative matrices the property of possessing a standard triangularization is stable under approximation. The methodology introduced to prove this result allows us to offer quick proofs of the corresponding results of [B. R. Yahaghi, Near triangularizability implies triangularizability, Canad. Math. Bull. 47, (2004), no. 2...

متن کامل

On the formal points of the formal topology of the binary tree

Formal topology is today an established topic in the development of constructive mathematics and constructive proofs for many classical results of general topology have been obtained by using this approach. Here we analyze one of the main concepts in formal topology, namely, the notion of formal point. We will contrast two classically equivalent definitions of formal points and we will see that...

متن کامل

$LG$-topology

In this paper‎, ‎we introduce a new model of point free topology‎ ‎for point-set topology‎. ‎We study the basic concepts in this‎ ‎structure and will find that it is naturally close to point-set‎ ‎topology‎.‎

متن کامل

On invariant sets topology

In this paper, we introduce and study a new topology related to a self mapping on a nonempty set.Let X be a nonempty set and let f be a self mapping on X. Then the set of all invariant subsets ofX related to f, i.e. f := fA X : f(A) Ag P(X) is a topology on X. Among other things,we nd the smallest open sets contains a point x 2 X. Moreover, we find the relations between fand To f . For insta...

متن کامل

A Clan with Zero without the Fixed Point Property

References 1. C. E. Capel, Inverse limit spaces, Duke Math. J. vol. 21 (1954) pp. 233-246. 2. H. Hahn, Mengentheoretische Charakterisierung der stetigen Kurve, Sitzungsber. Akad. Wiss., Wien, vol. 123 (1914) pp. 2433-2489. 3. J. L. Kelley, General topology, New York, van Nostrand Co., 1955. 4. S. Mazurkiewicz, Sur les lignes de Jordan, Fund. Math. vol. 1 (1920) pp. 166209. 5. R. L. Wilder, Topo...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2014