EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS
Vol. 12, No. 4, 2019, 1661-1661
ISSN 1307-5543 – www.ejpam.com
Published by New York Business Global

Corrigendum [On β-Open Sets and Ideals in Topological
Spaces, European Journal of Pure and Applied
Mathematics, Vol. 12, No. 3, 2019, 893-905]

Michael P. Baldado Jr.1,∗, Roberto N. Padua, Glaisa T. Catalan2

1 Mathematics Department, Negros Oriental State University - Main Campus,
Dumaguete City, Philippines
2 Negros Oriental State University - Siaton Campus, Siaton Negros Oriental, Philippines

Abstract. Corrigendum

2010 Mathematics Subject Classifications: 54-XX

Key Words and Phrases: β-open sets, βI -open sets, βI -compactness, cβI -compactness, βI -
hyperconnectedness and cβI -hyperconnectednes

Lemma 1 (page 895) in [1] shall be omitted (the lemma is not true in general).
In Lemma 2 (page 895), Lemma 3 (page 895), Lemma 4 (page 896), Lemma 7 (page

901), Theorem 1 (page 896), Theorem 7 (page 899), Theorem 8 (page 899), and Theorem
9 (page 900) in [1], the topological space in the assumption should be a τω-space, where
τω-space is a topological space X that satisfies the condition: int(cl(A)) = int(cl(intA))
for every A ⊆ X.

In Theorem 11 (page 901), Theorem 12 (page 901), Theorem 13 (page 901), Theorem
14 (page 902), and Theorem 16 (page 902) in [1], the topological space in the assumption
should be a τζ-space, where τζ-space is a topological space X that satisfies the conditions:
(1) cl(A ∩B) = cl(A) ∩ cl(B) for all A,B ⊆ X; and, (2) int(A ∩B) = int(A) ∩ int(B) for
all A,B ⊆ X.

The corrected version of the paper is available at https://www.researchgate.net/publication
/335337035 On b-Open Sets and Ideals in Topological Spaces Corrected Version

References

[1] G.T. Catalan, R.N. Padua, M.P. Baldado, On β-Open Sets and Ideals in Topological
Spaces, European Journal of Pure and Applied Mathematics, Vol. 12, No. 3, 2019,
893-905

∗Corresponding author.
DOI: https://doi.org/10.29020/nybg.ejpam.v12i4.3551

Email addresses: michaelpbaldadojr@yahoo.com (M. Baldado Jr.),
never glaisa@yahoo.com (G. Catalan)

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