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The basic objective of this paper is to introduce and investigate the class of Nβ -regular spaces. The relationship among nano-regular space, nano semi-regular space, nano pre-regular space, nano α-regular space, nano T0-space, nano T1-space and nano T2-space. Moreover, we define the forms of nano semi-p-regular, nano semi-p-p-regular and nano semi-p-s-regular spaces and study their properties.

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