File:Moore plane, Nemytskii's tangent disk topology - topological space representation by open Neighbourhood.jpg
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editDescriptionMoore plane, Nemytskii's tangent disk topology - topological space representation by open Neighbourhood.jpg |
English: Representation by definition of the open Neighbourhood sets of the points in the Moore Plane also known as Nemytskii's tangent disk topology. , is a topological space. It is a completely regular Hausdorff space (also called Tychonoff space) that is not normal. It is named after Robert Lee Moore and Viktor Vladimirovich Nemytskii.
Italiano: Rappresentazione del Piano di Moore a partire dagli intorni aperti dei punti giacenti sul semipiano. l piano di Moore (Moore plane in inglese), anche detto piano di Niemytzki (o piano di Nemytskii, topologia di Nemytskii dei dischi tangenti), è uno spazio topologico. Questo spazio è completamente regolare T3.5 cioè uno spazio di Tychonoff che però non è uno spazio normale T4. Per questo motivo è spesso utilizzato come esempio della affermazione "T3.5 non implica T4". Il piano di Moore deve il suo nome al matematico statunitense Robert Lee Moore e nella sua dicitura alternativa a Viktor Vladimirovich Nemytskii. |
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Source | Own work |
Author | Mænsard vokser |
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File change date and time | 21:04, 7 June 2018 |
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Date and time of digitizing | 23:04, 7 June 2018 |
Date metadata was last modified | 23:04, 7 June 2018 |
Unique ID of original document | xmp.did:cafd1b41-259b-da4a-99d1-f4bb09130ae8 |