Projectively extended real line

id: projectively-extended-real-line-321-4952838
title: Projectively extended real line
text: In real analysis, the projectively extended real line, is the extension of the set of the real numbers, R , by a point denoted ∞. It is thus the set R ∪ { ∞ } with the standard arithmetic operations extended where possible, and is sometimes denoted by R ∗ or R ^ . The added point is called the point at infinity, because it is considered as a neighbour of both ends of the real line. More precisely, the point at infinity is the limit of every sequence of real numbers whose absolute values are incr
brand slug: wiki
category slug: encyclopedia
description: Real numbers with an added point at infinity
original url: https://en.wikipedia.org/wiki/Projectively_extended_real_line
date created:
date modified: 2023-08-10T16:51:21Z
main entity: {"identifier":"Q2558939","url":"https://www.wikidata.org/entity/Q2558939"}
image: {"content_url":"https://upload.wikimedia.org/wikipedia/commons/4/4c/Real_projective_line.svg","width":374,"height":451}
fields total: 13
integrity: 15

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