IJPAM: Volume 78, No. 6 (2012)

OPERATORS INDUCED BY STACKS ON
A TOPOLOGICAL SPACE

Won Keun Min$^1$, Young Key Kim$^2$
$^1$Department of Mathematics
Kangwon National University
Chuncheon, 200-701, KOREA
$^2$Department of Mathematics
MyongJi University
Yongin, 449-728, KOREA


Abstract. The purpose of this paper is to introduce the notions of two operators $\varphi_{\mathcal S}$ and ${\Psi_{\mathcal S}}$ induced by a given stack $\mathcal S$ and a topology $\tau$, and to investigate some properties of them. In particular, we study the collection $\tau{\mathcal S}$ of sets induced by the operator ${\Psi_{\mathcal S}}$.

Received: January 12, 2012

AMS Subject Classification: 54A05

Key Words and Phrases: stacks, grill, operators $\varphi_{\mathcal S}$, ${\Psi_{\mathcal S}}$

Download paper from here.



Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 78
Issue: 6