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Borel sets with countable sections for nonseparable spaces |
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| Authors: | Petr Holicky |
| Affiliation: | Department of Mathematical Analysis, Charles University, Sokolovská 83, 186 75 Prague 8, Czech Republic |
| Abstract: | We prove that every (extended) Borel subset  of  , where  is a complete metric and  is Polish, can be covered by countably many extended Borel graphs of mappings from  to  if the sections  ,  , are countable. This is a nonseparable version of a classical theorem of Luzin and Novikov. |
| Keywords: | Extended Borel sets countable sections nonseparable metric spaces |
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