Sequential convergence in free groups
Sequential convergence in free groups
Dato uno spazio di convergenza sequenziale, si costruisce il gruppo di convergenza libero sullo spazio assegnato. Si esaminano varie proprietà che si preservano nel passaggio dallo spazio di convergenza al gruppo libero di convergenza. La teoria svolta è utilizzata per la costruzione di vari esempi e controesempi necessari alla risoluzione di problemi riguardanti la teoria dei gruppi di convergenza sequenziali.
The free sequential convergence group generated by a given sequential convergence space is constructed. Various significant properties of the original space are proved to be valid for the generated free group, too. Such technique is exploited in the construction of some examples of peculiar sequential convergence groups which are needed for solving various problems.
- University of Trieste Italy
free convergence group, Structure of general topological groups, coarse convergence group, Free nonabelian groups, convergence spaces, Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.), ``\(P\)-minimal'' and ``\(P\)-closed'' spaces, convergence group
free convergence group, Structure of general topological groups, coarse convergence group, Free nonabelian groups, convergence spaces, Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.), ``\(P\)-minimal'' and ``\(P\)-closed'' spaces, convergence group
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