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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 lineGrey button fit amp; 6 check Hammond by Grant suit flannel tailored Co waistcoat Patrick q4fznXw (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 [Sleeve Women Floral Summer Dress Cotton Daily Short a,Daily Women Short Cotton Floral Dress Summer Sleeve 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.

  • Product Details

    SKU: 2CCA6Q5155

    Thickness: Lightweight

    Process: Paneled,Shirred

    Neckline: Crew Neck

    Theme: Summer

    Waistlines: Natural

    Elasticity: Slightly stretchy

    Style: Basic

    Occasion: Daily,Holiday

    Silhouette: A-line

    Material: Cotton

    Sleeve Type: Short Sleeve

    Pattern Type: Floral

    Size: One-size

    Color: Red,Yellow

    Shoulder (cm): 36

    Bust (cm): 140

    Sleeve Length (cm): 27

    Length (cm): 98