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QATLAMALI KO'PXILLIKLAR TOPOLOGIK AKSLANTIRISHLARI GRUPPASINING XOSSALARI HAQIDA

descriptionPublicationkeyboard_double_arrow_right Article 30 Sep 2023 English Publisher:Zenodo
Authors: Sharipov Anvarjon Soliyevich; Mamasoliyev Mirzabek Isomiddin o'g'li;

doi: 10.5281/zenodo.8396153 , 10.5281/zenodo.8396154

QATLAMALI KO'PXILLIKLAR TOPOLOGIK AKSLANTIRISHLARI GRUPPASINING XOSSALARI HAQIDA

Abstract

Differensial geometriya va topologiyaning zamonaviy yo‘nalishlaridan biri bo‘lgan qatlamali ko‘pxilliklar nazariyasi XX asrning ikkinchi yarmida differensial tenglamalar, differensial geometriya va differensial topologiya fanlarining tutash sohasida paydo bo‘lgan. Ushbu ishda qatlamali ko‘pxilliklar topologik akslantirishlari gruppasining xossalari o‘rganilgan. Xususan, bu gruppaning kompakt ochiq topologiyaga nisbatan toplogik gruppa ekanligi isbotlangan. Bundan tashqari qatlamali ko‘pxilliklar topologik akslantirishlari to ‘plamini sanoqli bazaga ega Xausdorf fazosi ekanligi isbotlangan.

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Keywords

silliq ko'pxillik, qatlama, qatlamali ko'pxillik, topologik akslantirish, topologik gruppa, Xausdorf fazo, kompakt ochiq topologiya, F-kompakt ochiq topologiya.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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