Geodesic
On G-compactness of topological groups with operations
Filomat, Tome 36 (2022) no. 20, p. 7113

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DOI

One can notice that if X is a Hausdorff space, then limits of convergent sequences in X give us a function denoted by lim from the set of all convergent sequences in X to X. This notion has been extended by Connor and Grosse-Erdmann to an arbitrary linear functional G defined on a subspace of the vector space of real numbers. Following this idea some authors have defined concepts of G-continuity, G-compactness and G-connectedness in topological groups. In this paper we present some results about G-compactness of topological group with operations such as topological groups, topological rings without identity, R-modules, Lie algebras, Jordan algebras and many others.
DOI : 10.2298/FIL2220113M
Classification : 40J05, 54A05, 22A05
Keywords: Sequences, G-compactness, G-hull, G-continuity, G-connectedness, topological group with operations 
Osman Mucuk; Hüsein Çakallı. On G-compactness of topological groups with operations. Filomat, Tome 36 (2022) no. 20, p. 7113 . doi: 10.2298/FIL2220113M
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     title = {On {G-compactness} of topological groups with operations},
     journal = {Filomat},
     pages = {7113 },
     year = {2022},
     volume = {36},
     number = {20},
     doi = {10.2298/FIL2220113M},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2220113M/}
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