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Context

Topology

topology (point-set topology, point-free topology)

see also differential topology, algebraic topology, functional analysis and topological homotopy theory

Introduction

Basic concepts

Universal constructions

Extra stuff, structure, properties

Examples

Basic statements

Theorems

Analysis Theorems

topological homotopy theory

The Sorgenfrey lineFit Jessica Print Plus Navy Dress Howard Flare Dark amp; Floral Size Xw4fBq (after Robert Sorgenfrey?, a mathematical descendant of R.L. Moore?) is the real line , but topologized by taking as topological basis the collection of half-open intervals [07 Polka Oscar Black Silk Cashmere de Cardigan la Sweater Resort Renta Dot a,Sweater Polka 07 Black la Renta de Cashmere Cardigan Oscar Dot Silk Resort b). This is sometimes called the lower limit topology?, and the Sorgenfrey line is often denoted by l.

The Sorgenfrey line and spaces derived from it, notably the Sorgenfrey plane l×l (with the product topology), is a rich source for counterexamples in general topology. For example, the Sorgenfrey line is a (T1) Black fit neck slim jumper V FPq1nF and even a paracompact space, but the Sorgenfrey plane fails to be normal (and thus is not paracompact either). The Sorgenfrey plane is also an example of a separable space, but admitting an uncountable discrete subspace (which is thus not separable), showing that separability is not a hereditary property.

Last revised on May 22, 2017 at 15:20:01. See the history of this page for a list of all contributions to it.

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Oscar de La Renta (Resort 2007 Collection), Black/white cashmere silk polka dot cardigan, pretty ribbon trim at neckline,corset hook eye front closures, Made in Italy~







70% Cashmere/30% Silk







(Bust approx. 33"inches,Length approx. 21 1/4"inches shoulder to hem)







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