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More on Convergence of Continuous Functions and Topological Convergence of Sets

Canadian Mathematical Bulletin, 1985
AbstractLet C(X, Y) denote the set of continuous functions from a metric space X to a metric space Y. Viewing elements of C(X, Y) as closed subsets of X × Y, we say {fn} converges topologically to f if Li fn = Lsfn = f. If X is connected, then topological convergence in C(X,R) does not imply pointwise convergence, but if X is locally connected and Y is
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Composition and functions of bacterial membrane vesicles

Nature Reviews Microbiology, 2023
Masanori Toyofuku   +2 more
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Convergence and rates of convergence of radial basis functions networks in function learning

Nonlinear Analysis: Theory, Methods & Applications, 2001
Krzyżak, Adam, Niemann, Heinrich
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A Convergence of Bivariate Functions aimed at the Convergence of Saddle Functions

1982
Epi/hypo-convergence is introduced from a variational viewpoint. The known topological properties are reviewed and extended. Finally, it is shown that the (partial) Legendre-Fenchel transform is bicontinuous with respect to the topology induced by epi/hypoconvergence on the space of convex-concave bivariate functions.
Attouch, H., Wets, R.J.-B.
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Gene regulation by long non-coding RNAs and its biological functions

Nature Reviews Molecular Cell Biology, 2020
Luisa Statello   +2 more
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The expanding regulatory mechanisms and cellular functions of circular RNAs

Nature Reviews Molecular Cell Biology, 2020
Ling-Ling Chen
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Global view of human protein glycosylation pathways and functions

Nature Reviews Molecular Cell Biology, 2020
Katrine T Schjoldager   +2 more
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The emerging mechanisms and functions of microautophagy

Nature Reviews Molecular Cell Biology, 2022
, Daniel J Klionsky, Han-Ming Shen
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The regulation and functions of DNA and RNA G-quadruplexes

Nature Reviews Molecular Cell Biology, 2020
Jochen Spiegel   +2 more
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Antimicrobial host defence peptides: functions and clinical potential

Nature Reviews Drug Discovery, 2020
Neeloffer Mookherjee   +2 more
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