id	sid	eid	entity	type
cana-1480	1	1	1074	CARDINAL
cana-1480	2	1	2024	CARDINAL
cana-1480	2	2	253	CARDINAL
cana-1480	2	3	τ & nano*gα -compactness	ORG
cana-1480	2	4	k. baby1	PERSON
cana-1480	2	5	h. aaminumariyam2	PERSON
cana-1480	2	6	a. singaravelan3	PERSON
cana-1480	3	1	2research	CARDINAL
cana-1480	3	2	641 029	CARDINAL
cana-1480	3	3	tamilnadu	NORP
cana-1480	3	4	india	GPE
cana-1480	4	1	1email	DATE
cana-1480	5	1	2email	CARDINAL
cana-1480	5	2	3email	CARDINAL
cana-1480	5	3	siveanand@gmail.com	ORG
cana-1480	5	4	28-04-2024	CARDINAL
cana-1480	5	5	17	CARDINAL
cana-1480	5	6	30-06-2024	CARDINAL
cana-1480	6	1	nano*gα	PERSON
cana-1480	7	1	nano*gα	PERSON
cana-1480	7	2	nano*gα	PERSON
cana-1480	7	3	nano*gα	PERSON
cana-1480	7	4	nano*gα	PERSON
cana-1480	8	1	1	CARDINAL
cana-1480	9	1	7].ctness	CARDINAL
cana-1480	10	1	m. vigneshwaran	PERSON
cana-1480	10	2	r. devi	PERSON
cana-1480	11	1	3	CARDINAL
cana-1480	11	2	spaces.in	DATE
cana-1480	12	1	6	CARDINAL
cana-1480	13	1	lellis thivagar	PERSON
cana-1480	13	2	4]and carmel richard	ORG
cana-1480	13	3	nts.s.krishnaprakash	GPE
cana-1480	13	4	et.al	DATE
cana-1480	14	1	8	CARDINAL
cana-1480	15	1	n ano*gα -connected	PERSON
cana-1480	17	1	2	CARDINAL
cana-1480	22	1	1074	CARDINAL
cana-1480	23	1	2024	CARDINAL
cana-1480	23	2	254	CARDINAL
cana-1480	23	3	•	CARDINAL
cana-1480	23	4	𝐿𝑅(𝑋	PERSON
cana-1480	25	1	⊆	CARDINAL
cana-1480	25	2	•	CARDINAL
cana-1480	26	1	𝑋 ≠	PERSON
cana-1480	26	2	∈	ORG
cana-1480	27	1	•	CARDINAL
cana-1480	27	2	−𝑋	NORP
cana-1480	27	3	𝐵𝑅(𝑋	PERSON
cana-1480	28	1	− 𝐿𝑅(𝑋	PERSON
cana-1480	29	1	2.2.[4	CARDINAL
cana-1480	30	1	𝐿𝑅(𝑋	PERSON
cana-1480	30	2	𝑈𝑅(𝑋	PERSON
cana-1480	30	3	1.	CARDINAL
cana-1480	30	4	2	CARDINAL
cana-1480	32	1	3	CARDINAL
cana-1480	35	1	nano*gα	PERSON
cana-1480	36	1	⊆	CARDINAL
cana-1480	36	2	𝐴 ⊆ 𝑉	ORG
cana-1480	36	3	𝑁gα	PERSON
cana-1480	38	1	𝑉, 𝜎𝑅(𝑌	ORG
cana-1480	38	2	nano*gα	PERSON
cana-1480	39	1	3	CARDINAL
cana-1480	39	2	3.1	CARDINAL
cana-1480	40	1	nano*gα	PERSON
cana-1480	41	1	3.2	CARDINAL
cana-1480	42	1	nano*gα	PERSON
cana-1480	42	2	subcover	GPE
cana-1480	43	1	3.3	CARDINAL
cana-1480	44	1	nano*gα	PERSON
cana-1480	44	2	subcover	GPE
cana-1480	45	1	3.4	CARDINAL
cana-1480	46	1	nano*gα	PERSON
cana-1480	46	2	nano*gα	PERSON
cana-1480	47	1	3.5	CARDINAL
cana-1480	48	1	n ano∗	GPE
cana-1480	48	2	n ano∗	ORG
cana-1480	48	3	nano*gα	PERSON
cana-1480	50	1	nano*gα	PERSON
cana-1480	50	2	nano*gα	PERSON
cana-1480	51	1	nano*gα	PERSON
cana-1480	51	2	u .	GPE
cana-1480	52	1	u −	ORG
cana-1480	52	2	1074	CARDINAL
cana-1480	53	1	2024	CARDINAL
cana-1480	53	2	255	CARDINAL
cana-1480	53	3	nano*gα	PERSON
cana-1480	54	1	nano*gα	PERSON
cana-1480	54	2	𝐴1	CARDINAL
cana-1480	54	3	𝐴2	DATE
cana-1480	55	1	nano*gα	PERSON
cana-1480	55	2	3.6	CARDINAL
cana-1480	57	1	𝑉, 𝜎𝑅(𝑌	ORG
cana-1480	57	2	n ano∗	ORG
cana-1480	61	1	nano*gα	PERSON
cana-1480	61	2	𝑓−1(𝐴𝑖	DATE
cana-1480	62	1	nano*gα	PERSON
cana-1480	63	1	nano*gα	PERSON
cana-1480	63	2	𝑓−1(𝐴𝑖	DATE
cana-1480	64	1	𝑓−1(𝐴𝑖	DATE
cana-1480	65	1	𝐴1	CARDINAL
cana-1480	65	2	𝐴2	DATE
cana-1480	68	1	3.7	CARDINAL
cana-1480	69	1	nano*gα	PERSON
cana-1480	71	1	nano*gα	PERSON
cana-1480	72	1	j ∈ j	PERSON
cana-1480	72	2	nano*gα	PERSON
cana-1480	73	1	nano*gα	PERSON
cana-1480	74	1	nano*gα	PERSON
cana-1480	74	2	nano*gα	PERSON
cana-1480	75	1	j ∈ j	PERSON
cana-1480	75	2	j ∈ j	PERSON
cana-1480	76	1	3.8	CARDINAL
cana-1480	77	1	𝑉, 𝜎𝑅(𝑌	ORG
cana-1480	77	2	nano*gα	PERSON
cana-1480	77	3	nano*gα	PERSON
cana-1480	77	4	nano*gα	PERSON
cana-1480	79	1	nano*gα	PERSON
cana-1480	80	1	⋃	DATE
cana-1480	80	2	⋃	PRODUCT
cana-1480	80	3	𝑓−1(𝐴𝑖	DATE
cana-1480	81	1	n ano∗	GPE
cana-1480	81	2	nano*gα	PERSON
cana-1480	81	3	𝐴1	CARDINAL
cana-1480	81	4	𝐴2	DATE
cana-1480	82	1	𝐴 ⊆	ORG
cana-1480	84	1	⋃	DATE
cana-1480	84	2	nano*gα ct	PERSON
cana-1480	85	1	4	CARDINAL
cana-1480	85	2	4.1	CARDINAL
cana-1480	86	1	two	CARDINAL
cana-1480	88	1	𝐴 ≠ 𝐺 − 𝐹.	PERSON
cana-1480	88	2	4.2	CARDINAL
cana-1480	89	1	nano generalized nts	ORG
cana-1480	91	1	subcover	GPE
cana-1480	92	1	4.3	CARDINAL
cana-1480	93	1	4.4	CARDINAL
cana-1480	94	1	generalized nts	ORG
cana-1480	100	1	𝐴1	CARDINAL
cana-1480	100	2	𝐴2	DATE
cana-1480	101	1	𝐺 ≠ 𝑈	PERSON
cana-1480	101	2	1	CARDINAL
cana-1480	101	3	2	DATE
cana-1480	101	4	𝐴1	CARDINAL
cana-1480	101	5	𝐴2	DATE
cana-1480	102	1	4.5	CARDINAL
cana-1480	104	1	∈	ORG
cana-1480	104	2	⊂	GPE
cana-1480	105	1	1074	CARDINAL
cana-1480	106	1	2024	CARDINAL
cana-1480	106	2	256	CARDINAL
cana-1480	107	1	∈	ORG
cana-1480	108	1	𝐴𝛽 ∈	PERSON
cana-1480	110	1	𝐴𝛽	PERSON
cana-1480	110	2	∈	ORG
cana-1480	113	1	𝐴 ⊆	ORG
cana-1480	113	2	⋃	PRODUCT
cana-1480	113	3	𝐴𝛽𝑖 −	FAC
cana-1480	114	1	𝐴𝛽𝑖 𝑛 𝑖=1 𝑛 𝑖=1	FAC
cana-1480	114	2	𝐴𝛽𝑖	ORG
cana-1480	115	1	4.6	CARDINAL
cana-1480	120	1	⊆	CARDINAL
cana-1480	120	2	⊆	CARDINAL
cana-1480	122	1	f.	PERSON
cana-1480	122	2	𝐺1	CARDINAL
cana-1480	122	3	𝐺2	CARDINAL
cana-1480	122	4	𝐹1	CARDINAL
cana-1480	122	5	𝐹2	CARDINAL
cana-1480	122	6	𝐺1	CARDINAL
cana-1480	122	7	𝐺2	CARDINAL
cana-1480	122	8	𝐹1	CARDINAL
cana-1480	122	9	𝐹2	CARDINAL
cana-1480	124	1	4.7	CARDINAL
cana-1480	130	1	two	CARDINAL
cana-1480	130	2	6=	CARDINAL
cana-1480	131	1	− q.	PERSON
cana-1480	131	2	− g = u −	PERSON
cana-1480	131	3	− g	PERSON
cana-1480	132	1	∈	ORG
cana-1480	133	1	nanocτ -covering u .	ORG
cana-1480	137	1	𝐴	ORG
cana-1480	137	2	⋃	PRODUCT
cana-1480	137	3	𝑖=1	GPE
cana-1480	137	4	⊆	CARDINAL
cana-1480	137	5	⋃ 𝐴𝛼𝑖 𝑛 𝑖=1	PERSON
cana-1480	139	1	nano*gα	PERSON
cana-1480	139	2	5.1	CARDINAL
cana-1480	140	1	nano*gα	PERSON
cana-1480	140	2	two	CARDINAL
cana-1480	140	3	nano*gα	PERSON
cana-1480	141	1	5.2	CARDINAL
cana-1480	142	1	nano*gα	PERSON
cana-1480	142	2	nano*gα	PERSON
cana-1480	142	3	two	CARDINAL
cana-1480	142	4	nano*gα	PERSON
cana-1480	143	1	5.3	CARDINAL
cana-1480	146	1	nano*gα	PERSON
cana-1480	147	1	nano*gα	PERSON
cana-1480	147	2	n ano∗	GPE
cana-1480	148	1	nano*gα	PERSON
cana-1480	148	2	two	CARDINAL
cana-1480	151	1	nano*gα	PERSON
cana-1480	151	2	nano*gα	PERSON
cana-1480	152	1	u −	ORG
cana-1480	153	1	nano*gα	PERSON
cana-1480	153	2	nano*gα	PERSON
cana-1480	154	1	1074	CARDINAL
cana-1480	155	1	2024	CARDINAL
cana-1480	155	2	257	CARDINAL
cana-1480	155	3	disjoint nano*gα	PERSON
cana-1480	155	4	⊆	CARDINAL
cana-1480	156	1	nano*gα	PERSON
cana-1480	157	1	nano*gα	PERSON
cana-1480	158	1	nano*gα	PERSON
cana-1480	158	2	nano*gα	PERSON
cana-1480	158	3	nano*gα	PERSON
cana-1480	159	1	nano*gα	PERSON
cana-1480	161	1	𝑉, 𝜎𝑅(𝑌	ORG
cana-1480	161	2	nano*gα	PERSON
cana-1480	161	3	two	CARDINAL
cana-1480	162	1	nano*gα	PERSON
cana-1480	162	2	nano*gα	PERSON
cana-1480	162	3	−1	DATE
cana-1480	165	1	one	CARDINAL
cana-1480	165	2	∈	PRODUCT
cana-1480	165	3	𝑓−1(𝑦1	ORG
cana-1480	165	4	𝑓−1(𝑦1	ORG
cana-1480	167	1	nano*gα	PERSON
cana-1480	167	2	two	CARDINAL
cana-1480	169	1	f(x	ORG
cana-1480	173	1	n ano∗	GPE
cana-1480	174	1	nano*gα	PERSON
cana-1480	176	1	f(x	ORG
cana-1480	179	1	5.4	CARDINAL
cana-1480	180	1	nano*gα	PERSON
cana-1480	184	1	n ano∗	GPE
cana-1480	185	1	nano*gα	PERSON
cana-1480	186	1	nano*gα	PERSON
cana-1480	188	1	5.5	CARDINAL
cana-1480	190	1	𝜏𝑅(𝑋)={u	DATE
cana-1480	191	1	nano*gα	PERSON
cana-1480	191	2	u , ϕ	ORG
cana-1480	192	1	nano*gα	PERSON
cana-1480	192	2	two	CARDINAL
cana-1480	192	3	nano*gα	PERSON
cana-1480	193	1	5.6	CARDINAL
cana-1480	195	1	nano*gα	PERSON
cana-1480	195	2	nano*gα	PERSON
cana-1480	195	3	nano*gα	PERSON
cana-1480	197	1	nano*gα	PERSON
cana-1480	198	1	nano*gα	PERSON
cana-1480	198	2	v nano*gα	PERSON
cana-1480	202	1	nano*gα	PERSON
cana-1480	203	1	5.7	CARDINAL
cana-1480	204	1	𝑉, 𝜎𝑅(𝑌	ORG
cana-1480	204	2	nano*gα	PERSON
cana-1480	205	1	1074	CARDINAL
cana-1480	206	1	2024	CARDINAL
cana-1480	206	2	258	CARDINAL
cana-1480	207	1	nano*gα	PERSON
cana-1480	208	1	nano*gα	PERSON
cana-1480	208	2	nano*gα	PERSON
cana-1480	208	3	nano*gα	PERSON
cana-1480	208	4	nano*gα	PERSON
cana-1480	208	5	nano*gα	PERSON
cana-1480	211	1	5.8	CARDINAL
cana-1480	212	1	nano*gα	PERSON
cana-1480	212	2	nano*gα	PERSON
cana-1480	212	3	nano*gα	PERSON
cana-1480	214	1	nano*gα	PERSON
cana-1480	215	1	nano*gα	PERSON
cana-1480	216	1	− g	PERSON
cana-1480	217	1	g	PERSON
cana-1480	217	2	nano*gα	PERSON
cana-1480	217	3	n ano∗	GPE
cana-1480	217	4	nano*gα	PERSON
cana-1480	217	5	nano*gα	PERSON
cana-1480	218	1	two	CARDINAL
cana-1480	218	2	nano*gα	PERSON
cana-1480	219	1	nano*gα	PERSON
cana-1480	220	1	nano*gα	PERSON
cana-1480	221	1	nano*gα	PERSON
cana-1480	223	1	nano*gα	PERSON
cana-1480	224	1	gand	PERSON
cana-1480	224	2	nano*gα	PERSON
cana-1480	224	3	nano*gα	PERSON
cana-1480	224	4	5.9	CARDINAL
cana-1480	226	1	nano*gα	PERSON
cana-1480	226	2	⊆	CARDINAL
cana-1480	226	3	⊆	CARDINAL
cana-1480	228	1	nano*gα	PERSON
cana-1480	228	2	nano*gα	PERSON
cana-1480	228	3	∩	WORK_OF_ART
cana-1480	229	1	∩	WORK_OF_ART
cana-1480	232	1	g ∩f ⊆	ORG
cana-1480	232	2	∩	WORK_OF_ART
cana-1480	234	1	⊆	CARDINAL
cana-1480	235	1	k.m.gnanapriya	PERSON
cana-1480	235	2	1	CARDINAL
cana-1480	235	3	3	CARDINAL
cana-1480	236	1	2	CARDINAL
cana-1480	236	2	k.m.gnanapriya	PERSON
cana-1480	236	3	1(1)(2013),31-37	CARDINAL
cana-1480	237	1	3] m.vigneshwaran	QUANTITY
cana-1480	237	2	gao-kernel	ORG
cana-1480	237	3	2012	DATE
cana-1480	237	4	4	CARDINAL
cana-1480	237	5	thivagar	GPE
cana-1480	237	6	carmel richard	PERSON
cana-1480	237	7	1,august 2013,pp.3137	DATE
cana-1480	238	1	5	CARDINAL
cana-1480	238	2	issue3,jun 2014,117-124	PERSON
cana-1480	238	3	9	CARDINAL
cana-1480	239	1	6	CARDINAL
cana-1480	239	2	1963	DATE
cana-1480	239	3	19(2),86-96	CARDINAL
cana-1480	240	1	r. wiegandt	PERSON
cana-1480	240	2	top.app.5(1975	ORG
cana-1480	241	1	8	CARDINAL
cana-1480	241	2	119,n0.13	CARDINAL
cana-1480	241	3	2018),107-115	CARDINAL
cana-1480	242	1	9	CARDINAL
cana-1480	242	2	indian	NORP
cana-1480	243	1	10	CARDINAL
cana-1480	243	2	hatem imran	PERSON
cana-1480	243	3	mustafa h.hadi	GPE
cana-1480	243	4	no.2	ORG
cana-1480	243	5	june 2016,pp.39-51	DATE
cana-1480	244	1	11	CARDINAL
cana-1480	244	2	122(3)(2009),231-235	CARDINAL
cana-1480	245	1	12	CARDINAL
cana-1480	245	2	2882	CARDINAL