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homeomorphism∗
rspuzio†
2013-03-21 12:50:58
A homeomorphism f of topological spaces is a continuous, bijective map such
that f −1 is also continuous. We also say that two spaces are homeomorphic if
such a map exists.
If two topological spaces are homeomorphic, they are topologically equivalent
— using the techniques of topology, there is no way of distinguishing one space
from the other.
An autohomeomorphism (also known as a self-homeomorphism) is a homeomorphism from a topological space to itself.
∗ hHomeomorphismi created: h2013-03-21i by: hrspuzioi version: h30912i Privacy setting:
h1i hDefinitioni h54C05i
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