How a Change to Topology's Union Axiom Affects Continuity
| Autor: | Bergjord, Rachel, Zabka, Matthew |
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| Rok vydání: | 2022 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | The most general definition of a continuous function requires that the preimage of any open set be open. Thus, to discuss continuity in the abstract, it is necessary to first define a topology, which tells us which sets in a space are open. Such a topology is given by three axioms that describe how the open sets in a topology behave. In this paper we shall consider a change to one of these axioms and determine how this change affects the continuity of a function. Comment: 6 pages, submitted to Axioms |
| Databáze: | arXiv |
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