%0 Journal Article
%A Moosaei, M.
%A Rezaei, Gh. R.
%A Jamalzadeh, J.
%T Homomorphisms on Topological Groups from the Perspective of Bourbaki-boundedness
%J Iranian Journal of Mathematical Sciences and Informatics
%V 17
%N 2
%U http://ijmsi.ir/article-1-1318-en.html
%R 10.52547/ijmsi.17.2.45
%D 2022
%K Topological group, Bounded set, Bourbaki-bounded set, Bourbaki-bounded homomorphism, Continuous homomorphism, Compact homomorphism, Bourbaki-completeness.,
%X 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.
%> http://ijmsi.ir/article-1-1318-en.pdf
%P 45-58
%& 45
%!
%9 Research paper
%L A-10-3474-1
%+ Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran
%G eng
%@ 1735-4463
%[ 2022