homeomorphism Definition
a mathematical relation between two spaces that preserves the basic shape of each space, but not necessarily its size or orientation.
Using homeomorphism: Examples
Take a moment to familiarize yourself with how "homeomorphism" can be used in various situations through the following examples!
Example
The two shapes are homeomorphic to each other.
Example
Homeomorphism is an important concept in topology.
Origins of homeomorphism
from Greek 'hómoios' meaning 'similar' and 'morphḗ' meaning 'form'
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Summary: homeomorphism in Brief
A 'homeomorphism' [ˌhɑːmiəˈmɔːfɪzəm] is a mathematical relation between two spaces that preserves the basic shape of each space, but not necessarily its size or orientation. It is an important concept in topology.
