Two examples concerning small intrinsic isometries

نویسندگان

چکیده

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

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Two examples concerning almost continuous functions

In this note we will construct, under the assumption that union of less than continuum many meager subsets of R is meager in R, an additive connectivity function f : R → R with Cantor intermediate value property which is not almost continuous. This gives a partial answer to a question of D. Banaszewski [2]. (See also [12, Question 5.5].) We will also show that every extendable function g : R → ...

متن کامل

Two Examples concerning Extendable and Almost Continuous Functions

The main purpose of this paper is to describe two examples. The first is that of an almost continuous, Baire class two, non-extendable function f : [0, 1] → [0, 1] with a Gδ graph. This answers a question of Gibson [15]. The second example is that of a connectivity function F : R → R with dense graph such that F−1(0) is contained in a countable union of straight lines. This easily implies the e...

متن کامل

On Intrinsic Isometries to Euclidean Space

Compact metric spaces that admit intrinsic isometries to the Euclidean d-space are considered. Roughly, the main result states that the class of such spaces coincides with the class of inverse limits of Euclidean d-polyhedra. §

متن کامل

Examples concerning Abel and Cesàro limits

This note describes examples of all possible equality and strict inequality relations between upper and lower Abel and Cesàro limits of sequences bounded above or below. It also provides applications to Markov Decision Processes.

متن کامل

Some Examples and Remarks Concerning Groups

We present some examples and remarks which may be helpful to those who are dealing with an abstract algebra or a first semester group theory course. Alternating groups, dihedral groups, and symmetric groups of small orders are treasure troves of elementary examples and counter examples concerning groups. Mathematics Subject Classification: 20-01, 20-02, 20B05, 20B07, 20E06

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

ژورنال

عنوان ژورنال: Fundamenta Mathematicae

سال: 1988

ISSN: 0016-2736,1730-6329

DOI: 10.4064/fm-131-3-209-213