Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2407.08235 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866916319989858304 |
|---|---|
| author | Basu, Soumi Bose, Bedanta |
| author_facet | Basu, Soumi Bose, Bedanta |
| contents | For any Tychonoff space X we have introduced the zero-set in-tersection graph on Γ(C+(X)) and studied the graph properties in connection with the algebraic properties of the semiring C+(X). We have shown that for any two realcompact spaces X and Y the graph isomorphism between Γ(C+(X)) and Γ(C+(Y )), the semiring isomorphism between C+(X) and C+(Y ), the topological homeomorphism between X and Y, the ring isomorphism between C(X) and C(Y ) and the graph isomorphism between Γ(C(X)) and Γ(C(Y )) are equivalent. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_08235 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Zero-Set Intersection Graph On C+(X) Basu, Soumi Bose, Bedanta General Topology 54D35, 30H50 For any Tychonoff space X we have introduced the zero-set in-tersection graph on Γ(C+(X)) and studied the graph properties in connection with the algebraic properties of the semiring C+(X). We have shown that for any two realcompact spaces X and Y the graph isomorphism between Γ(C+(X)) and Γ(C+(Y )), the semiring isomorphism between C+(X) and C+(Y ), the topological homeomorphism between X and Y, the ring isomorphism between C(X) and C(Y ) and the graph isomorphism between Γ(C(X)) and Γ(C(Y )) are equivalent. |
| title | Zero-Set Intersection Graph On C+(X) |
| topic | General Topology 54D35, 30H50 |
| url | https://arxiv.org/abs/2407.08235 |