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Matematicheskie Zametki, 2010, Volume 87, Issue 6, Pages 825–829
DOI: https://doi.org/10.4213/mzm8745 (Mi mzm8745) 		 
$\mathrm{HL}$-Differentiability is Equivalent to $\mathrm{MB}^\sharp$-Differentiability

I. Vodova

Mathematical Institute, Silesian University in Opava
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DOI: https://doi.org/10.4213/mzm8745
Abstract: In 1972, it was announced by Averbukh and Smolyanov that $\mathrm{HL}$-differentiability is equivalent to $\mathrm{FB}^\sharp$-differentiability. The proof has not been published till now. Here we prove a stronger result, namely, the one formulated in the title.
Keywords: filter, pseudotopology, differentiability, differentiability in the sense of Frölicher and Bucher, in the sense of Michael and Bastiani, and in the sense of Hyers and Lang.
Received: 27.01.2010
English version:
Mathematical Notes, 2010, Volume 87, Issue 6, Pages 807–810
DOI: https://doi.org/10.1134/S0001434610050196
Bibliographic databases:
Document Type: Article
UDC: 517.2+517.98
Language: Russian
Citation: I. Vodova, “$\mathrm{HL}$-Differentiability is Equivalent to $\mathrm{MB}^\sharp$-Differentiability”, Mat. Zametki, 87:6 (2010), 825–829; Math. Notes, 87:6 (2010), 807–810
Citation in format AMSBIB
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