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- W4306391375 abstract "In Functional Analysis as well as Topology, we frequently encounter sets, say $X$, that contain elements close to each other. These sets display a defining finite-ness property: for all open cover $mathcal{O}$ of $X$, there exists a finite subcollection $mathcal{U}subseteqmathcal{O}$ such that $mathcal{U}$ covers $X$. Such spaces $X$ are called $textbf{compact}$, and the above finite-ness property afford us great convenience, because we can always investigate $X$ by investigating its finite open cover $mathcal{U}$Arzela-" @default.
- W4306391375 created "2022-10-17" @default.
- W4306391375 creator A5076655283 @default.
- W4306391375 date "2022-10-14" @default.
- W4306391375 modified "2023-09-27" @default.
- W4306391375 title "Arzela-Ascoli's Theorem and Applications" @default.
- W4306391375 doi "https://doi.org/10.20944/preprints202210.0209.v1" @default.
- W4306391375 hasPublicationYear "2022" @default.
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