What is an open set in topology?

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what is an open set in topology Informational

• Definition What are the open intervals in a linearly ordered set?
• Differential Topology
• Advanced Topics How are the open sets defined in the Scott topology?
• Definition What is a proper map between topological spaces?
• Connectedness What is a path-connected set?
• Related Concepts How are open sets related to the concept of a filter in topology?
• Separation Axioms When is the cocountable topology Hausdorff?
• Examples What are the open sets in a cofinite topology?
• Category Theory What is the concept of an open cover refinement?
• Generalizations In an Alexandroff topology, is every intersection of open sets open?