id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-5434	Sathishmohan, P. ; Stanley Roshan, S.; Rajalakshmi, K. ; Brindha, S. ; Poongothai, G. 	On Micro Pre Operators in Micro Topological Spaces	2024	11	.pdf	application/pdf	4431	449	89	} Since every micro open is micro pre-open, x ∈ Mic-ker(A). Therefore, x ∈ Mic-Pker(A ∪ B). (iii) Let x ∈ Mic-Pker(A ∩ B) ⇒ x ∈ Mic-Pker(A) and x ∈ Mic-Pker(B) Therefore, x ∈ Mic-Pker(A) ∪ Mic-Pker(B). (iv) Let x ∈ Mic-Pcl(A) ∩ Mic-Pker(A) By Lemma 3.7(1)	cache/ejpam-5434.pdf	txt/ejpam-5434.txt