topology
2
9.9
- noun
- /təˈpɑlədʒi/
- Specialized
- Advancements in topology have revealed the properties of complex shapes in both mathematics and physics.
- define a topology
- complex topology
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Watch on YouTubeYou 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
1
9.9
The study of shapes and spaces that stay the same when you stretch or bend them
Compounds
- Specialized
1
6.0
How devices like computers and cables are arranged and connected in a communication system
- Specialized
1
5.3
How layers and simple units connect in a computer model that learns
- Specialized
How computers and devices are connected so they can communicate, not where they are placed
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.