topologically
Adverb: - From the point of view of topology: In a manner relating to the properties of geometric figures or spatial structures that remain unchanged under continuous deformation, such as stretching or bending, but not tearing or gluing.
The adverb "topologically" is used to modify a verb, adjective, or another adverb to indicate that the action, description, or perspective is based on the principles of topology. - It describes an approach, analysis, or classification. - It is typically used in academic, scientific, and mathematical contexts.
- The two shapes are topologically equivalent because one can be deformed into the other without cutting.
- The network was analyzed topologically to understand its connectivity, ignoring the exact distances between nodes.
- A coffee mug and a doughnut are topologically identical; they both have one hole.
- "Topologically speaking": Used to introduce a statement from the perspective of topology.
- Topologically speaking, a sphere is not the same as a torus.
- "Topologically protected": A term in physics describing a state that is stable due to topological properties.
- The edge states in this material are topologically protected against local disturbances.
- Topological (adjective): Relating to topology.
- We studied the topological features of the surface.
- Topology (noun): The branch of mathematics concerned with the properties of geometric forms that are invariant under continuous transformations.
- Knot theory is a subfield of topology.
- From a topological perspective
- In topological terms
"Topologically" is a specialized adverb with a single, consistent meaning related to the field of topology. It does not have common idiomatic or figurative uses outside of technical contexts.
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from the point of view of topology
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