On theta-connectedness and theta-closure spaces
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2002
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Metapodaci
Prikaz svih podataka o dokumentuApstrakt
Let (X, T) be a topological space. A point x is in the theta-closure of A, denoted by cl(theta) A, if each closed neighbourhood of x intersects A. The pair (X, cltheta) is a closure space, also called a neighbourhood space. A subset A is theta-closed if A = cl(theta) A. theta-closed sets are closed sets for a new topology To on the set X. The semi-regularization topology of T is denoted by T-s. Various topological properties are considered on (X, T), (X, T-s), (X, cl(theta)) and (X, T-theta), in particular connectedness and local connectedness.
Ključne reči:
theta-closure / delta-closure / theta-open set / delta-open set / theta-closure space / neighbourhood space / semi-regularization topology / connectedness / local connectedness / separation propertiesIzvor:
Topology and its Applications, 2002, 123, 1, 157-166Izdavač:
- Elsevier, Amsterdam
DOI: 10.1016/S0166-8641(01)00179-1
ISSN: 0166-8641
WoS: 000177367500017
Scopus: 2-s2.0-0038351835
Institucija/grupa
Poljoprivredni fakultetTY - CONF AU - Mrsević, M AU - Andrijević, Dimitrije PY - 2002 UR - http://aspace.agrif.bg.ac.rs/handle/123456789/499 AB - Let (X, T) be a topological space. A point x is in the theta-closure of A, denoted by cl(theta) A, if each closed neighbourhood of x intersects A. The pair (X, cltheta) is a closure space, also called a neighbourhood space. A subset A is theta-closed if A = cl(theta) A. theta-closed sets are closed sets for a new topology To on the set X. The semi-regularization topology of T is denoted by T-s. Various topological properties are considered on (X, T), (X, T-s), (X, cl(theta)) and (X, T-theta), in particular connectedness and local connectedness. PB - Elsevier, Amsterdam C3 - Topology and its Applications T1 - On theta-connectedness and theta-closure spaces EP - 166 IS - 1 SP - 157 VL - 123 DO - 10.1016/S0166-8641(01)00179-1 ER -
@conference{ author = "Mrsević, M and Andrijević, Dimitrije", year = "2002", abstract = "Let (X, T) be a topological space. A point x is in the theta-closure of A, denoted by cl(theta) A, if each closed neighbourhood of x intersects A. The pair (X, cltheta) is a closure space, also called a neighbourhood space. A subset A is theta-closed if A = cl(theta) A. theta-closed sets are closed sets for a new topology To on the set X. The semi-regularization topology of T is denoted by T-s. Various topological properties are considered on (X, T), (X, T-s), (X, cl(theta)) and (X, T-theta), in particular connectedness and local connectedness.", publisher = "Elsevier, Amsterdam", journal = "Topology and its Applications", title = "On theta-connectedness and theta-closure spaces", pages = "166-157", number = "1", volume = "123", doi = "10.1016/S0166-8641(01)00179-1" }
Mrsević, M.,& Andrijević, D.. (2002). On theta-connectedness and theta-closure spaces. in Topology and its Applications Elsevier, Amsterdam., 123(1), 157-166. https://doi.org/10.1016/S0166-8641(01)00179-1
Mrsević M, Andrijević D. On theta-connectedness and theta-closure spaces. in Topology and its Applications. 2002;123(1):157-166. doi:10.1016/S0166-8641(01)00179-1 .
Mrsević, M, Andrijević, Dimitrije, "On theta-connectedness and theta-closure spaces" in Topology and its Applications, 123, no. 1 (2002):157-166, https://doi.org/10.1016/S0166-8641(01)00179-1 . .