Other forms of continuity modulo an ideal
Abstract The topic analized in this paper is the continuity modulo an ideal. We use the open-I sets to introduce new forms of weak continuity. Some basic properties of C-continuous and D-continuous functions will be investigated, as well as some applications related to compactness and separability....
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| Lenguaje: | English |
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Universidad Católica del Norte, Departamento de Matemáticas
2020
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oai:scielo:S0716-091720200005012212020-11-16Other forms of continuity modulo an idealPachón Rubiano,Néstor Raúl ℐ-continuous ℐ -compact ℐ -normal Abstract The topic analized in this paper is the continuity modulo an ideal. We use the open-I sets to introduce new forms of weak continuity. Some basic properties of C-continuous and D-continuous functions will be investigated, as well as some applications related to compactness and separability. All the results obtained in this work constitute generalizations of well-known results of the general topology. We prove that these new concepts are independent of other forms of weak continuity, modulo an ideal, introduced by Abd El-Monsef, Özkurt, Çobankaya and Kaniewski.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.39 n.5 20202020-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000501221en10.22199/issn.0717-6279-2020-05-0075 |
| institution |
Scielo Chile |
| collection |
Scielo Chile |
| language |
English |
| topic |
ℐ-continuous ℐ -compact ℐ -normal |
| spellingShingle |
ℐ-continuous ℐ -compact ℐ -normal Pachón Rubiano,Néstor Raúl Other forms of continuity modulo an ideal |
| description |
Abstract The topic analized in this paper is the continuity modulo an ideal. We use the open-I sets to introduce new forms of weak continuity. Some basic properties of C-continuous and D-continuous functions will be investigated, as well as some applications related to compactness and separability. All the results obtained in this work constitute generalizations of well-known results of the general topology. We prove that these new concepts are independent of other forms of weak continuity, modulo an ideal, introduced by Abd El-Monsef, Özkurt, Çobankaya and Kaniewski. |
| author |
Pachón Rubiano,Néstor Raúl |
| author_facet |
Pachón Rubiano,Néstor Raúl |
| author_sort |
Pachón Rubiano,Néstor Raúl |
| title |
Other forms of continuity modulo an ideal |
| title_short |
Other forms of continuity modulo an ideal |
| title_full |
Other forms of continuity modulo an ideal |
| title_fullStr |
Other forms of continuity modulo an ideal |
| title_full_unstemmed |
Other forms of continuity modulo an ideal |
| title_sort |
other forms of continuity modulo an ideal |
| publisher |
Universidad Católica del Norte, Departamento de Matemáticas |
| publishDate |
2020 |
| url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000501221 |
| work_keys_str_mv |
AT pachonrubianonestorraul otherformsofcontinuitymoduloanideal |
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