topology
1
9.9
- noun
- /təˈpɑlədʒi/
- Specialized
:
topología
- Advancements in topology have revealed the properties of complex shapes in both mathematics and physics.
- define a topology
- complex topology
You can put no constraint on the global topology.
- You can put no constraint on the global topology.
- You said number theory, you said geometry, words like topology.
- So there are two ways of thinking about the formations in topology.
- And this can happen if you have a little bit of topology.
- That's how that's like the, the, the topology and physics of black holes is this Schwartz child solution.
- I wish topology was more excited and in love with visualizing some of the ideas.
Examples
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Fractional statistics and other FQH properties arise from the unique topology of two-dimensional space.
Academic text (2005) -
OK, so we've talked about topology, this idea of smooth transformations between objects.
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Let's go on to what the word topology means.
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Consequently, the target need not understand the topology of the web.
Academic text (1996) -
Maybe that subject is real analysis, maybe it's topology, maybe it's abstract algebra.
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Euler's formula is this great topology fact about any graph.
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The topologies we inferred using concatenation and summary coalescent methods were also similar.
Academic text (2018) -
The study of topology allows mathematicians to explore how shapes can transform continuously without tearing or gluing.
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Understanding topology is crucial for analyzing how different geometrical structures can relate to one another.
Synonyms
The study of shapes and spaces that stay the same when you stretch or bend them
Compounds
- Specialized
How computers and devices are connected so they can communicate, not where they are placed
- Specialized
How devices like computers and cables are arranged and connected in a communication system
- Specialized
How layers and simple units connect in a computer model that learns
Surface Forms
Morphology
topology = topo + logy
The classical elements are recognizable, but the mathematical sense is specialized and only partly guessable from the morphemes alone.
Etymology
Topology comes from the Greek topos 'place' and -logy 'study', the same -logy you see in biology. In mathematics it means the 'study of places' or spaces that keep their basic form when you bend or stretch them, which is why a coffee cup and a donut can be seen as the same shape.