Institution: | North Texas State University |
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Department: | |
Year: | 1971 |
Keywords: | topology; group theory; mathematics; semitopological groups |
Record ID: | 1489890 |
Full text PDF: | http://digital.library.unt.edu/ark:/67531/metadc131490/ |
This thesis is a study of semitopological groups, a similar but weaker notion than that of topological groups. It is shown that all topological groups are semitopological groups but that the converse is not true. This thesis investigates some of the conditions under which semitopological groups are, in fact, topological groups. It is assumed that the reader is familiar with basic group theory and topology.