Let X:={a,b,c} be a set of three elements. A certain topology of X
contains (among others) the sets {a}, {b}, and {c}. List all open sets
in the topology T.
Let Xâ:={a,b,c,d,e} be a set of five elements. A certain topology Tâ
on Xâ contains (among others) the sets {a,b,c}, {c,d} and {e}. List
any other open set in Tâ which you know must be there. Also name one
subset of Xâ which may or may not be open.
Please give reasons with your answers.
Mathematics Homework Solutions
#34069
Topology questions
Let X:={a,b,c} be a set of three elements. A certain topology of X contains (among others) the sets {a}, {b}, and {c}. List all open sets in the topology T.
Let X:={a,b,c,d,e} be a set of five elements. A certain topology T on X contains (among others) the sets {a,b,c}, {c,d} and {e}. List any other open set in T which you know must be there. Also name one subset of X which may or may not be open.
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