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The pluri-fine topology is locally connected - MaRDI portal

The pluri-fine topology is locally connected (Q854738)

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The pluri-fine topology is locally connected
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    The pluri-fine topology is locally connected (English)
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    6 December 2006
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    From \textit{B. Fuglede} [Ann. Inst. Fourier 21, No. 3, 227--244 (1971; Zbl 0208.13802)] we know that the classical fine topology is locally connected. Fuglede studied also pluri-fine topology (the coarsest one making plurisubharmonic functions, in a given open set, continuous) and asked if it is locally connected as well. The authors show that it is indeed the case. As a corollary they obtain that a pluri-fine connected component of a pluri-finely open set is pluri-finely open.
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    plurifine topology
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    plurisubharmonic functions
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