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Loop spaces as Hilbert–Hartogs manifolds
Archiv der Mathematik ( IF 0.6 ) Pub Date : 2020-07-07 , DOI: 10.1007/s00013-020-01485-w
M. Anakkar , S. Ivashkovich

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.

中文翻译:

作为 Hilbert-Hartogs 流形的循环空间

我们证明了 Hartogs 流形的广义循环空间是 Hilbert-Hartogs。我们还证明了 Hilbert-Hartogs 流形具有比其定义中假定的更好的扩展特性。最后,我们列出了 Hilbert-Hartogs 流形的例子。
更新日期:2020-07-07
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