The Australian Journal of Mathematical Analysis and Applications


Home News Editors Volumes RGMIA Subscriptions Authors Contact

ISSN 1449-5910  

 

Sorry death is imminent for file: ../public_html/searchroot/files/tex/v21n2/v21i2p1.tex
Sorry death is imminent for file: ../public_html/searchroot/files/tex/v21n2/v21i2p2.tex
Sorry death is imminent for file: ../public_html/searchroot/files/tex/v21n2/v21i2p3.tex
Sorry death is imminent for file: ../public_html/searchroot/files/tex/v21n2/v21i2p4.tex
You searched for palilingan
Total of 2 results found in site

2: Paper Source PDF document

Paper's Title:

Some Notes on the Semi-open Subspaces of Topological Spaces

Author(s):

Nicky. K. Tumalun, Philotheus E. A. Tuerah, and Rolles N. S. Palilingan

Department of Mathematics
Universitas Negeri Manado
Tondano 95618
Indonesia.
E-mail: nickytumalun@unima.ac.id
URL: https://fmipa.unima.ac.id/

Department of Mathematics
Universitas Negeri Manado
Tondano 95618
Indonesia.
E-mail: pheatuerah@unima.ac.id
URL: https://fmipa.unima.ac.id/

Department of Physics
Universitas Negeri Manado
Tondano 95618
Indonesia.
E-mail: rollespalilingan@unima.ac.id
URL: https://fmipa.unima.ac.id/

Abstract:

In this paper, we obtain some new results regarding to the nowhere dense and first category set in the semi-open subspace of a topological space. More precisely, we prove that a nowhere dense set in the semi-open subspace of a topological space is equivalent as a nowhere dense set in that topological space. This implies that a first category set in the semi-open subspace of a topological space is equivalent as a first category set in that topological space. We also give some applications of these results to give some new proofs relating to the properties of semi-open set and Baire space.


Search and serve lasted 0 second(s).


2004-2023 Austral Internet Publishing