topology
topology
UK[təˈpɒlədʒi]US[təˈpɑːlədʒi]
n
A branch of mathematics concerned with the properties of geometric figures that remain unchanged under continuous deformations such as stretching or bending, but not tearing or gluing.
n
The way in which constituent parts are interrelated or arranged; the structure of a system or object.
Morpheme Breakdown
topo
logy
topo
place
logy
study of
Etymology
The term 'topology' is a modern mathematical coinage, constructed from classical Greek elements. It literally means 'the study of place'. The Greek root topos (place, location) was used in ancient philosophy and geography. In the late 19th and early 20th centuries, mathematicians adopted this term to describe a new field of geometry focused not on rigid measurements like distance or angle, but on the more fundamental properties of spatial relationships and continuity that are preserved when a shape is smoothly transformed. Thus, the abstract modern discipline retains the core idea of analyzing 'place', but redefines it in terms of connectedness, boundaries, and deformation rather than fixed position.
Analysis
Structure: topo (place) + logy (study of)
'topo' is from Greek topos, meaning 'place'. '-logy' is from Greek -logia, a suffix denoting 'the study of' or 'a discourse'.
Examples
In topology, a coffee mug and a doughnut are considered equivalent because one can be deformed into the other.
The network topology of the office was changed from a star to a ring configuration to improve redundancy.
Algebraic topology uses tools from abstract algebra to classify and study topological spaces.