AU - Moosaei, M.
AU - Rezaei, Gh. R.
AU - Jamalzadeh, J.
TI - Homomorphisms on Topological Groups from the Perspective of Bourbaki-boundedness
PT - JOURNAL ARTICLE
TA - IJMSI
JN - IJMSI
VO - 17
VI - 2
IP - 2
4099 - http://ijmsi.ir/article-1-1318-en.html
4100 - http://ijmsi.ir/article-1-1318-en.pdf
SO - IJMSI 2
ABĀ - In this note we study some topological properties of bounded sets and Bourbaki-bounded sets. Also we introduce two types of Bourbaki-bounded homomorphisms on topological groups including, n$-$Bourbaki-bounded homomorphisms and$hspace{1mm}$ B$-$Bourbaki-bounded homomorphisms. We compare them to each other and with the class of continuous homomorphisms. So, two topologies are presented on them and we determine some properties on domain and range spaces led to Bourbaki-completeness some of these classes of homomorphisms with the given topologies. At the end of this note we focus on n-compact homomorphisms and B-compact homomorphisms briefly.
CP - IRAN
IN - Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran
LG - eng
PB - IJMSI
PG - 45
PT - Research paper
YR - 2022