Dimension theory and fuzzy topological spaces
J. M. Aarts introduced and studied a new dimension function, Hind, in 1975 and obtained several results on this function. In this paper, a new local inductive dimension function called local huge inductive dimension function denoted by locHind is introduced and studied. Furthermore, an effort is ma...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/92870 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832559855586508800 |
|---|---|
| author | S. S. Benchalli B. M. Ittanagi P. G. Patil |
| author_facet | S. S. Benchalli B. M. Ittanagi P. G. Patil |
| author_sort | S. S. Benchalli |
| collection | DOAJ |
| description | J. M. Aarts introduced and studied a new dimension function,
Hind, in 1975 and obtained several results on this function. In
this paper, a new local inductive dimension function called local
huge inductive dimension function denoted by locHind is introduced and studied. Furthermore, an effort is made to
introduce and study dimension functions for fuzzy topological
spaces. It has been possible to introduce and study the small
inductive dimension function indfX and large inductive
dimension function indfX for a fuzzy topological space X. |
| format | Article |
| id | doaj-art-b91e13c4b05c4ba6a5ea4dd6bdba1ecd |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-b91e13c4b05c4ba6a5ea4dd6bdba1ecd2025-02-03T01:29:03ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/9287092870Dimension theory and fuzzy topological spacesS. S. Benchalli0B. M. Ittanagi1P. G. Patil2Department of Mathematics, Karnatak University, Dharwad, Karnataka 580003, IndiaDepartment of Mathematics, Karnatak University, Dharwad, Karnataka 580003, IndiaDepartment of Mathematics, Karnatak University, Dharwad, Karnataka 580003, IndiaJ. M. Aarts introduced and studied a new dimension function, Hind, in 1975 and obtained several results on this function. In this paper, a new local inductive dimension function called local huge inductive dimension function denoted by locHind is introduced and studied. Furthermore, an effort is made to introduce and study dimension functions for fuzzy topological spaces. It has been possible to introduce and study the small inductive dimension function indfX and large inductive dimension function indfX for a fuzzy topological space X.http://dx.doi.org/10.1155/IJMMS/2006/92870 |
| spellingShingle | S. S. Benchalli B. M. Ittanagi P. G. Patil Dimension theory and fuzzy topological spaces International Journal of Mathematics and Mathematical Sciences |
| title | Dimension theory and fuzzy topological spaces |
| title_full | Dimension theory and fuzzy topological spaces |
| title_fullStr | Dimension theory and fuzzy topological spaces |
| title_full_unstemmed | Dimension theory and fuzzy topological spaces |
| title_short | Dimension theory and fuzzy topological spaces |
| title_sort | dimension theory and fuzzy topological spaces |
| url | http://dx.doi.org/10.1155/IJMMS/2006/92870 |
| work_keys_str_mv | AT ssbenchalli dimensiontheoryandfuzzytopologicalspaces AT bmittanagi dimensiontheoryandfuzzytopologicalspaces AT pgpatil dimensiontheoryandfuzzytopologicalspaces |