id	sid	eid	entity	type
ejpam-5434	1	1	european journal	ORG
ejpam-5434	2	1	17	CARDINAL
ejpam-5434	2	2	4	CARDINAL
ejpam-5434	2	3	2024	DATE
ejpam-5434	2	4	3156-3166	DATE
ejpam-5434	3	1	new york	GPE
ejpam-5434	3	2	sathishmohan1	GPE
ejpam-5434	3	3	s. stanley roshan1,∗	PERSON
ejpam-5434	3	4	k. rajalakshmi2	PERSON
ejpam-5434	3	5	s. brindha3	PERSON
ejpam-5434	3	6	coimbatore-29	DATE
ejpam-5434	3	7	india	GPE
ejpam-5434	3	8	2	CARDINAL
ejpam-5434	3	9	sri krishna college of engineering	ORG
ejpam-5434	3	10	tamil nadu	LOC
ejpam-5434	3	11	india	GPE
ejpam-5434	3	12	3	CARDINAL
ejpam-5434	3	13	mettupalayam-04	DATE
ejpam-5434	3	14	india	GPE
ejpam-5434	5	1	2020	DATE
ejpam-5434	5	2	54a05	CARDINAL
ejpam-5434	5	3	54a10	CARDINAL
ejpam-5434	5	4	1	CARDINAL
ejpam-5434	6	1	levine	PERSON
ejpam-5434	6	2	1970	DATE
ejpam-5434	6	3	3	CARDINAL
ejpam-5434	7	1	lellis thivagar	PERSON
ejpam-5434	8	1	1	CARDINAL
ejpam-5434	10	1	2013	DATE
ejpam-5434	10	2	antony rex rodgio	PERSON
ejpam-5434	11	1	2018	DATE
ejpam-5434	12	1	6	CARDINAL
ejpam-5434	13	1	2019	DATE
ejpam-5434	13	2	4	CARDINAL
ejpam-5434	14	1	chandrasekar	PERSON
ejpam-5434	15	1	5	CARDINAL
ejpam-5434	16	1	s. stanley roshan	ORG
ejpam-5434	16	2	k. rajalakshmi	PERSON
ejpam-5434	16	3	s. brindha	PERSON
ejpam-5434	16	4	g. poongothai	PERSON
ejpam-5434	17	1	3156	CARDINAL
ejpam-5434	17	2	2024	CARDINAL
ejpam-5434	18	1	s. stanley roshan et al	PERSON
ejpam-5434	19	1	j. pure	PERSON
ejpam-5434	19	2	17	CARDINAL
ejpam-5434	19	3	4	CARDINAL
ejpam-5434	19	4	2024	CARDINAL
ejpam-5434	19	5	3156-3166	CARDINAL
ejpam-5434	20	1	2020	DATE
ejpam-5434	20	2	9	CARDINAL
ejpam-5434	23	1	1	CARDINAL
ejpam-5434	24	1	1	CARDINAL
ejpam-5434	24	2	u and τr(x	FAC
ejpam-5434	25	1	lr(x	ORG
ejpam-5434	25	2	ur(x	GPE
ejpam-5434	25	3	br(x	GPE
ejpam-5434	25	4	⊆	CARDINAL
ejpam-5434	25	5	τr(x	ORG
ejpam-5434	25	6	∅ ∈ τr(x	ORG
ejpam-5434	26	1	τr(x	ORG
ejpam-5434	27	1	τr(x	ORG
ejpam-5434	28	1	τr(x	ORG
ejpam-5434	28	2	u, τr(x	ORG
ejpam-5434	29	1	2	CARDINAL
ejpam-5434	30	1	4	CARDINAL
ejpam-5434	30	2	u,τr(x	ORG
ejpam-5434	30	3	µr(x	NORP
ejpam-5434	31	1	n ∪(n	PERSON
ejpam-5434	31	2	τr(x	ORG
ejpam-5434	32	1	3	CARDINAL
ejpam-5434	33	1	4	CARDINAL
ejpam-5434	33	2	µr(x	ORG
ejpam-5434	34	1	∈ µr(x	PERSON
ejpam-5434	34	2	µr(x	NORP
ejpam-5434	34	3	µr(x	NORP
ejpam-5434	35	1	µr(x	NORP
ejpam-5434	35	2	µr(x	NORP
ejpam-5434	36	1	µr(x	NORP
ejpam-5434	36	2	µr(x	ORG
ejpam-5434	36	3	µr(x	ORG
ejpam-5434	37	1	4	CARDINAL
ejpam-5434	38	1	4	CARDINAL
ejpam-5434	39	1	⊆	CARDINAL
ejpam-5434	42	1	5	CARDINAL
ejpam-5434	43	1	7	CARDINAL
ejpam-5434	45	1	6	CARDINAL
ejpam-5434	46	1	7	CARDINAL
ejpam-5434	46	2	mic-pcl(a	ORG
ejpam-5434	46	3	7	CARDINAL
ejpam-5434	47	1	4	CARDINAL
ejpam-5434	47	2	u, τr(x	ORG
ejpam-5434	47	3	µr(x	ORG
ejpam-5434	47	4	⊆	CARDINAL
ejpam-5434	48	1	⊆	CARDINAL
ejpam-5434	49	1	s. stanley roshan et al	PERSON
ejpam-5434	50	1	j. pure	PERSON
ejpam-5434	50	2	17	CARDINAL
ejpam-5434	50	3	4	CARDINAL
ejpam-5434	50	4	2024	CARDINAL
ejpam-5434	50	5	3156-3166	CARDINAL
ejpam-5434	50	6	8	CARDINAL
ejpam-5434	51	1	2	CARDINAL
ejpam-5434	51	2	∈	ORG
ejpam-5434	52	1	9	CARDINAL
ejpam-5434	53	1	2	CARDINAL
ejpam-5434	54	1	10	CARDINAL
ejpam-5434	55	1	7	CARDINAL
ejpam-5434	55	2	∈	ORG
ejpam-5434	55	3	∈	ORG
ejpam-5434	55	4	u ∩	ORG
ejpam-5434	55	5	11	CARDINAL
ejpam-5434	56	1	7	CARDINAL
ejpam-5434	57	1	2	CARDINAL
ejpam-5434	58	1	12	CARDINAL
ejpam-5434	59	1	⊂	GPE
ejpam-5434	60	1	⊆	CARDINAL
ejpam-5434	60	2	the micro frontier of a.	ORG
ejpam-5434	62	1	1	CARDINAL
ejpam-5434	63	1	µr(x	ORG
ejpam-5434	67	1	1	CARDINAL
ejpam-5434	72	1	lemma 3.8(1	PERSON
ejpam-5434	73	1	7	CARDINAL
ejpam-5434	74	1	2	CARDINAL
ejpam-5434	75	1	1	CARDINAL
ejpam-5434	75	2	3.9	CARDINAL
ejpam-5434	76	1	7	CARDINAL
ejpam-5434	77	1	s. stanley roshan et al	PERSON
ejpam-5434	78	1	j. pure	PERSON
ejpam-5434	78	2	17	CARDINAL
ejpam-5434	78	3	4	CARDINAL
ejpam-5434	78	4	2024	CARDINAL
ejpam-5434	78	5	3156-3166 3159	DATE
ejpam-5434	78	6	13	CARDINAL
ejpam-5434	79	1	⊂	GPE
ejpam-5434	82	1	1	CARDINAL
ejpam-5434	82	2	∈	ORG
ejpam-5434	83	1	∈	ORG
ejpam-5434	84	1	∈	ORG
ejpam-5434	84	2	∈	ORG
ejpam-5434	85	1	3.7	CARDINAL
ejpam-5434	85	2	7	CARDINAL
ejpam-5434	85	3	3.16	CARDINAL
ejpam-5434	86	1	∈	ORG
ejpam-5434	87	1	⊂	GPE
ejpam-5434	87	2	∈	ORG
ejpam-5434	88	1	2	CARDINAL
ejpam-5434	90	1	∈	ORG
ejpam-5434	90	2	⊆	CARDINAL
ejpam-5434	91	1	∈	ORG
ejpam-5434	91	2	⊆	CARDINAL
ejpam-5434	91	3	1(3	CARDINAL
ejpam-5434	92	1	∈	ORG
ejpam-5434	93	1	∈	ORG
ejpam-5434	96	1	∩	ORG
ejpam-5434	97	1	⊂	GPE
ejpam-5434	98	1	∈	ORG
ejpam-5434	99	1	∈	ORG
ejpam-5434	100	1	∈	ORG
ejpam-5434	101	1	2	CARDINAL
ejpam-5434	101	2	1	CARDINAL
ejpam-5434	102	1	⊂	GPE
ejpam-5434	102	2	⊂	GPE
ejpam-5434	103	1	lemma 1(1	ORG
ejpam-5434	104	1	⊂	GPE
ejpam-5434	104	2	∈	ORG
ejpam-5434	105	1	1	CARDINAL
ejpam-5434	107	1	⊂	GPE
ejpam-5434	108	1	⊂	GPE
ejpam-5434	108	2	mic-pfr(b	NORP
ejpam-5434	112	1	2	CARDINAL
ejpam-5434	113	1	µr(x	ORG
ejpam-5434	116	1	case(1	GPE
ejpam-5434	117	1	⊂	GPE
ejpam-5434	118	1	mic-pfr(b	NORP
ejpam-5434	120	1	⊂	GPE
ejpam-5434	121	1	s. stanley roshan et al	PERSON
ejpam-5434	122	1	j. pure	PERSON
ejpam-5434	122	2	17	CARDINAL
ejpam-5434	122	3	4	CARDINAL
ejpam-5434	122	4	2024	CARDINAL
ejpam-5434	122	5	3156-3166 3160	DATE
ejpam-5434	122	6	case(2	ORG
ejpam-5434	124	1	mic-pfr(b	NORP
ejpam-5434	125	1	⊂	GPE
ejpam-5434	125	2	mic-pfr(b	NORP
ejpam-5434	126	1	3	CARDINAL
ejpam-5434	127	1	∈	ORG
ejpam-5434	128	1	1(3	CARDINAL
ejpam-5434	128	2	2	CARDINAL
ejpam-5434	128	3	2	CARDINAL
ejpam-5434	128	4	2	CARDINAL
ejpam-5434	128	5	3	CARDINAL
ejpam-5434	129	1	1	CARDINAL
ejpam-5434	130	1	⊂	GPE
ejpam-5434	133	1	3	CARDINAL
ejpam-5434	135	1	4	CARDINAL
ejpam-5434	137	1	⊆	CARDINAL
ejpam-5434	139	1	⊆	CARDINAL
ejpam-5434	141	1	4.9	CARDINAL
ejpam-5434	148	1	⊂	GPE
ejpam-5434	148	2	1	CARDINAL
ejpam-5434	148	3	2	CARDINAL
ejpam-5434	149	1	1	CARDINAL
ejpam-5434	149	2	2	CARDINAL
ejpam-5434	152	1	⊆	CARDINAL
ejpam-5434	153	1	⊆	CARDINAL
ejpam-5434	154	1	⊆	CARDINAL
ejpam-5434	156	1	⊆	CARDINAL
ejpam-5434	158	1	⊆	CARDINAL
ejpam-5434	158	2	⊆	CARDINAL
ejpam-5434	159	1	3	CARDINAL
ejpam-5434	160	1	14	DATE
ejpam-5434	161	1	∈	ORG
ejpam-5434	163	1	s. stanley roshan et al	PERSON
ejpam-5434	164	1	j. pure	PERSON
ejpam-5434	164	2	17	CARDINAL
ejpam-5434	164	3	4	CARDINAL
ejpam-5434	164	4	2024	CARDINAL
ejpam-5434	164	5	3156-3166 3161	CARDINAL
ejpam-5434	164	6	5	CARDINAL
ejpam-5434	164	7	⊆	CARDINAL
ejpam-5434	171	1	⊂	GPE
ejpam-5434	171	2	⊆	CARDINAL
ejpam-5434	172	1	⊆	CARDINAL
ejpam-5434	173	1	⊆	CARDINAL
ejpam-5434	176	1	⊆	CARDINAL
ejpam-5434	179	1	g ∈ µr(x	PERSON
ejpam-5434	179	2	∈	ORG
ejpam-5434	179	3	⊆	CARDINAL
ejpam-5434	181	1	⊆	CARDINAL
ejpam-5434	181	2	g ⇒	PERSON
ejpam-5434	183	1	⊆	CARDINAL
ejpam-5434	190	1	3	CARDINAL
ejpam-5434	192	1	⊂	GPE
ejpam-5434	192	2	⊂	GPE
ejpam-5434	192	3	u −	ORG
ejpam-5434	192	4	⊆	CARDINAL
ejpam-5434	192	5	⊆	CARDINAL
ejpam-5434	193	1	vi	PERSON
ejpam-5434	193	2	⊆	CARDINAL
ejpam-5434	193	3	⊆	CARDINAL
ejpam-5434	194	1	⊆	CARDINAL
ejpam-5434	195	1	s. stanley roshan et al	PERSON
ejpam-5434	196	1	j. pure	PERSON
ejpam-5434	196	2	17	CARDINAL
ejpam-5434	196	3	4	CARDINAL
ejpam-5434	196	4	2024	CARDINAL
ejpam-5434	196	5	3156-3166 3162	CARDINAL
ejpam-5434	197	1	⊂	GPE
ejpam-5434	197	2	b. ⇒	PERSON
ejpam-5434	198	1	⊆	CARDINAL
ejpam-5434	198	2	⊆	CARDINAL
ejpam-5434	198	3	⊆	CARDINAL
ejpam-5434	205	1	⊂	GPE
ejpam-5434	205	2	u −	ORG
ejpam-5434	205	3	5	CARDINAL
ejpam-5434	205	4	⊂	GPE
ejpam-5434	206	1	∈	ORG
ejpam-5434	209	1	two	CARDINAL
ejpam-5434	212	1	6	CARDINAL
ejpam-5434	212	2	7	CARDINAL
ejpam-5434	214	1	3	CARDINAL
ejpam-5434	215	1	µr(x	ORG
ejpam-5434	221	1	6	CARDINAL
ejpam-5434	222	1	∈	ORG
ejpam-5434	224	1	4	CARDINAL
ejpam-5434	225	1	15	CARDINAL
ejpam-5434	229	1	7	CARDINAL
ejpam-5434	230	1	s. stanley roshan et al	PERSON
ejpam-5434	231	1	j. pure	PERSON
ejpam-5434	231	2	17	CARDINAL
ejpam-5434	231	3	4	CARDINAL
ejpam-5434	231	4	2024	CARDINAL
ejpam-5434	231	5	3156-3166 3163	CARDINAL
ejpam-5434	231	6	⊆	CARDINAL
ejpam-5434	231	7	a. (ii	ORG
ejpam-5434	238	1	a. (ii	ORG
ejpam-5434	238	2	a.	PERSON
ejpam-5434	238	3	a.	PERSON
ejpam-5434	247	1	4	CARDINAL
ejpam-5434	253	1	8	CARDINAL
ejpam-5434	255	1	⊆	CARDINAL
ejpam-5434	257	1	3.16	CARDINAL
ejpam-5434	257	2	7	CARDINAL
ejpam-5434	259	1	⊂ a.	PERSON
ejpam-5434	259	2	⊆	CARDINAL
ejpam-5434	259	3	∈	ORG
ejpam-5434	261	1	∈	ORG
ejpam-5434	261	2	∈	ORG
ejpam-5434	262	1	⊆	CARDINAL
ejpam-5434	263	1	∈	ORG
ejpam-5434	264	1	3.16	CARDINAL
ejpam-5434	264	2	7	CARDINAL
ejpam-5434	266	1	⊂ a.	PERSON
ejpam-5434	266	2	⊆	CARDINAL
ejpam-5434	269	1	s. stanley roshan et al	PERSON
ejpam-5434	270	1	j. pure	PERSON
ejpam-5434	270	2	17	CARDINAL
ejpam-5434	270	3	4	CARDINAL
ejpam-5434	270	4	2024	CARDINAL
ejpam-5434	270	5	3156-3166	DATE
ejpam-5434	271	1	16	DATE
ejpam-5434	272	1	⊂	GPE
ejpam-5434	273	1	⊂	GPE
ejpam-5434	274	1	4	CARDINAL
ejpam-5434	275	1	∈	ORG
ejpam-5434	276	1	µr(x	ORG
ejpam-5434	277	1	⊆	CARDINAL
ejpam-5434	278	1	⊂	GPE
ejpam-5434	282	1	⋃	PRODUCT
ejpam-5434	283	1	∈	ORG
ejpam-5434	285	1	⊆	CARDINAL
ejpam-5434	285	2	∈	ORG
ejpam-5434	288	1	⊂	GPE
ejpam-5434	290	1	1	CARDINAL
ejpam-5434	292	1	⊆	CARDINAL
ejpam-5434	292	2	⋃	PRODUCT
ejpam-5434	293	1	⋃	DATE
ejpam-5434	293	2	⊆	CARDINAL
ejpam-5434	293	3	⋃	PRODUCT
ejpam-5434	297	1	ai0 ⊂ s.	PERSON
ejpam-5434	298	1	⊆	CARDINAL
ejpam-5434	298	2	⊆	CARDINAL
ejpam-5434	300	1	⊆	CARDINAL
ejpam-5434	300	2	i. theorem 9	PERSON
ejpam-5434	302	1	⊆	CARDINAL
ejpam-5434	306	1	3165	CARDINAL
ejpam-5434	307	1	∈	ORG
ejpam-5434	307	2	⊂	GPE
ejpam-5434	307	3	∈	ORG
ejpam-5434	307	4	⊂	GPE
ejpam-5434	307	5	∈	ORG
ejpam-5434	311	1	7	CARDINAL
ejpam-5434	311	2	⊆	CARDINAL
ejpam-5434	311	3	1	CARDINAL
ejpam-5434	311	4	⊆	CARDINAL
ejpam-5434	312	1	∈	ORG
ejpam-5434	312	2	⊆	CARDINAL
ejpam-5434	312	3	∈	ORG
ejpam-5434	312	4	⊆	CARDINAL
ejpam-5434	315	1	⊂	GPE
ejpam-5434	316	1	∈	ORG
ejpam-5434	316	2	⊂	GPE
ejpam-5434	317	1	7	CARDINAL
ejpam-5434	317	2	4(1	CARDINAL
ejpam-5434	318	1	6	CARDINAL
ejpam-5434	320	1	1	CARDINAL
ejpam-5434	320	2	lellis thivagar	PERSON
ejpam-5434	321	1	carmel richard	PERSON
ejpam-5434	323	1	1(1):31–37	CARDINAL
ejpam-5434	323	2	2013	DATE
ejpam-5434	324	1	2	CARDINAL
ejpam-5434	324	2	james r. munkres	PERSON
ejpam-5434	326	1	pearson education	ORG
ejpam-5434	326	2	india	GPE
ejpam-5434	326	3	2018	DATE
ejpam-5434	327	1	3	CARDINAL
ejpam-5434	328	1	del circolo matematico di parlermo	PERSON
ejpam-5434	328	2	1970	DATE
ejpam-5434	329	1	3166	DATE
ejpam-5434	330	1	4	CARDINAL
ejpam-5434	331	1	s. on micro topological spaces	ORG
ejpam-5434	332	1	26:23–31, 2019	DATE
ejpam-5434	333	1	5	CARDINAL
ejpam-5434	335	1	s. micro α	ORG
ejpam-5434	336	1	international journal of research	ORG
ejpam-5434	336	2	6(10):2633–2637	CARDINAL
ejpam-5434	336	3	2018	DATE
ejpam-5434	337	1	6	CARDINAL
ejpam-5434	340	1	rajendran	GPE
ejpam-5434	341	1	vignesh kumar	PERSON
ejpam-5434	343	1	10(5):899–907	DATE
ejpam-5434	343	2	2018	DATE
ejpam-5434	344	1	7	CARDINAL
ejpam-5434	344	2	stanley roshan	PERSON
ejpam-5434	346	1	k.	PERSON
ejpam-5434	348	1	indian	NORP
ejpam-5434	348	2	17(22):2346	CARDINAL
ejpam-5434	348	3	2351	CARDINAL
ejpam-5434	348	4	2024	DATE
ejpam-5434	349	1	8	CARDINAL
ejpam-5434	349	2	antony rex rodgio	PERSON
ejpam-5434	350	1	jessie theodore	PERSON
ejpam-5434	350	2	hanaselvi	LOC
ejpam-5434	351	1	β∗-open	GPE
ejpam-5434	352	1	iosr journal of mathematics	ORG
ejpam-5434	352	2	6(3):25–29, 2013	DATE
ejpam-5434	353	1	9	CARDINAL
ejpam-5434	353	2	ibrahim h. z. micro	PERSON
ejpam-5434	354	1	2020	DATE