Abstract
We prove that generalized loop spaces of Hartogs manifolds are Hilbert–Hartogs. We prove also that Hilbert–Hartogs manifolds possess a better extension properties than it is postulated in their definition. Finally, we give a list of examples of Hilbert–Hartogs manifolds.
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Acknowledgements
The authors would like to express their gratitude to our colleague Léa Blanc-Centi for useful discussions around the results of this paper. We would also like to thank the Referee of this paper who pointed to us a serious gap in its first version.
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Anakkar, M., Ivashkovich, S. Loop spaces as Hilbert–Hartogs manifolds. Arch. Math. 115, 445–456 (2020). https://doi.org/10.1007/s00013-020-01485-w
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DOI: https://doi.org/10.1007/s00013-020-01485-w