Let X and Y be topological spaces, where the only open sets of Y are the
empty set and Y itself, i.e., Y has the trivial topology
is continuous
Show that Y is path connected and simply connected.
Mathematics Homework Solutions
#57806
Trivial Topology, Continuity and Connectedness
Let X and Y be topological spaces, where the only open sets of Y are the empty set and Y itself, i.e., Y has the trivial topology.
• Show that any map X --> Y is continuous
• Show that Y is path connected and simply connected.
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Trivial Topology, Continuity and Connectedness are investigated.
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