On Paracompactness of the Space CLipk(Ω)

Author:

Abdulkadhum Aljariawi Salam,Al-Nafie Z. D

Abstract

Abstract By the construction C<sup>Lipk</sup>(&#x03A9;) we mean the space of all continuous complex-valued functions of class Lip<sup>k</sup>, defined on an open subset &#x03A9; of Euclidean space &#x0211D;<sup>n</sup> the present work, proved the paracompactness of the space C<sup>Lipk</sup>(&#x03A9;), also many important results were discussed and proved.

Publisher

IOP Publishing

Subject

General Physics and Astronomy

Reference7 articles.

1. A new method for existence of a Lipk-partition of unity on infinite dimensional manifold modeled on a non-normable Fréchet topological vector spaces;Al-Nafie;Jour of Adv Research in Dynamical and Control System,2018

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