topologically
1
9.9
- adverb
- /ˌtɑːpəˈlɒdʒɪkli/
- Specialized
- These shapes may look different, but topologically, they share the same properties of connectivity and continuity.
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Watch on YouTubeThese are things that are topologically the same but are smoothly different.
- These are things that are topologically the same but are smoothly different.
- You could think of having describing a Taurus, at least topologically.
Examples
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Topologically speaking, of course, this is impossible.
Academic text (2000) -
These are things that are topologically the same but are smoothly different.
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I mean, just topologically it has the properties of a piece of a cylinder.
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A donut and a cup of coffee are topologically equivalent because they describe the same space.
Academic text (2004) -
I mean, like famously, a mug is topologically the same as a doughnut.
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Two geometric braids are topologically equivalent if one can be deformed into the other by motions that keep the two boundary planes fixed.
Academic text (1996) -
Topologically, a donut and a coffee mug are equivalent because they can be transformed into one another without cutting.
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In topology, a torus and a sphere are considered different, but topologically, a stretched balloon can be seen as a flattened version of a ball.
Surface Forms
Morphology
topologically = topological (transparent) = topology + al + ly
Formed by adding the productive adverbial suffix '-ly' to the adjective 'topological', which itself is a regular adjectival derivative of 'topology', so the formation and meaning are predictable.
Etymology
Topologically comes from topo- meaning 'place' and -logy meaning 'study', the same parts you see in topography. So to look at something topologically is to care about how its parts are arranged or connected in space; for example a coffee mug and a doughnut are the same topologically because each has one hole.