TY - JOUR
ID - 28387
TI - $L$-Topological Spaces
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Bajravani, Ali
AD - Department of Mathematics, Faculty of Basic Sciences, Azarbaijan Shahid Madani University, Tabriz, I. R. Iran.
Y1 - 2018
PY - 2018
VL - 10
IS - 1
SP - 119
EP - 133
KW - Compact Spaces
KW - Connected Spaces
KW - Frame
DO - 10.22130/scma.2017.28387
N2 - By substituting the usual notion of open sets in a topological space $X$ with a suitable collection of maps from $X$ to a frame $L$, we introduce the notion of L-topological spaces. Then, we proceed to study the classical notions and properties of usual topological spaces to the newly defined mathematical notion. Our emphasis would be concentrated on the well understood classical connectedness, quotient and compactness notions, where we prove the Thychonoff's theorem and connectedness property for ultra product of $L$-compact and $L$-connected topological spaces, respectively.
UR - https://scma.maragheh.ac.ir/article_28387.html
L1 - https://scma.maragheh.ac.ir/article_28387_de42aeb44cc0345bcda542f42caad0ac.pdf
ER -