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Translate files Topology
/təˈpɒlədʒi/
Meaning & Definition
noun
The arrangement or layout of various elements in a particular space or structure, especially in a mathematical or geometrical context.
The topology of the network determines how data packets are routed between devices.
A branch of mathematics concerned with the properties of space that are preserved under continuous transformations.
In topology, two shapes that can be stretched into each other are considered to be the same.
The way in which parts of a whole are organized, especially with respect to connectivity and interaction.
The topology of the city's road network affects traffic flow and accessibility.
Etymology
From the Greek 'topos' meaning 'place' and 'logos' meaning 'study'.
Common Phrases and Expressions
network topology
The physical or logical layout of a network.
topological space
A set with a structure that allows for the formal definition of convergence, continuity, and compactness.
topological properties
Characteristics of a space that remain unchanged under continuous transformations.
Related Words
geometry
The branch of mathematics involving points, lines, planes, and figures, and their properties.
homeomorphism
A continuous, one-to-one mapping of a space onto another that preserves the structure.
continuity
The property of a function or a sequence that it does not abruptly change value.