--- title: "Meaning & Key Takeaway of: Topology is that branch of mathematics…" description: "\"“Topology is that branch of mathematics which is interested in the forms of things aside from their size and shape, Two things are said to be topologic..." image: "https://sms4smile.com/quotes/i/be9/john-d-barrow-4552_mathematics_topology-is-that-branch-of-mathematics-w_2667820.jpg" --- # Topology is that branch of mathematics which is interested… ![“Topology is that branch of mathematics which is interested in the forms of things aside from their size and shape, Two things are said to be topologically equivalent if one can be deformed smoothly into the other without sticking, cutting, or puncturing it in any way. Thus an egg is equivalent to…” quote by John D. Barrow](https://sms4smile.com/quotes/i/be9/john-d-barrow-4552_mathematics_topology-is-that-branch-of-mathematics-w_2667820.jpg) [Download](https://sms4smile.com/quotes/i/be9/john-d-barrow-4552_mathematics_topology-is-that-branch-of-mathematics-w_2667820.jpg) [Open image](https://sms4smile.com/quotes/i/be9/john-d-barrow-4552_mathematics_topology-is-that-branch-of-mathematics-w_2667820.jpg) > ““Topology is that branch of mathematics which is interested in the forms of things aside from their size and shape, Two things are said to be topologically equivalent if one can be deformed smoothly into the other without sticking, cutting, or puncturing it in any way. Thus an egg is equivalent to a sphere. The first application of topology to an analogous problem-the interaction of atoms rather than elementary particles-was made in the mid-nineteenth century by Lord Kelvin. It has many striking parallels with the aims and attractions of modern string theory.”” [John D. Barrow](https://sms4smile.com/quotes/author/john-d-barrow/) ## About This Quote This interpretation was drafted with AI assistance. It is one reading of the quote, not the author's own explanation. Topology studies properties that stay unchanged under continuous deformation, ignoring size and precise shape. It shows how seemingly different objects can be equivalent when stretched or bent without tearing. **In simple terms:** Topology looks at shape without size, focusing on continuous deformations. Key Takeaway Focus on invariant properties, not measurements. Themes mathematics physics philosophy Mood curious analytical Type scientific educational When to use this quote - physics research - education - theory development - interdisciplinary study Key Concepts topology continuous deformation equivalence Questions to Reflect On - How does ignoring size affect our understanding of physical systems? - When is topological equivalence useful in real-world problems? A Different Perspective Topology may oversimplify complex structures by ignoring metric details. ★ ★ ★ ★ ★ No ratings yet [Mathematics](https://sms4smile.com/quotes/about/mathematics/) [String theory](https://sms4smile.com/quotes/about/string-theory/) [Topology](https://sms4smile.com/quotes/about/topology/) ## Related quotes > [“I came into the room, which was half dark, and presently spotted Lord Kelvin in the audience and realised that I was in for…](https://sms4smile.com/quotes/ernest-rutherford/i-came-into-the-room-which-was-half-dark-and-presently-spotted-lord/) [Ernest Rutherford](https://sms4smile.com/quotes/author/ernest-rutherford/) > [ The age of the earth was thus increased from a mere score of millions \[of years\] to a thousand millions and more, and the… ](https://sms4smile.com/quotes/william-johnson-sollas/the-age-of-the-earth-was-thus-increased-from-a-mere-score-of-millions/) William Johnson Sollas > [The story is told of Lord Kelvin, a famous Scotch physicist of the last century, that after he had given a lecture on atoms…](https://sms4smile.com/quotes/arthur-compton/the-story-is-told-of-lord-kelvin-a-famous-scotch-physicist-of-the/) [Arthur Compton](https://sms4smile.com/quotes/author/arthur-compton/) > [“Much as it took Lucas to revolutionize the search for Mersennes primes and Lord Kelvin to introduce new ways to look for space-filling-shapes, I…](https://sms4smile.com/quotes/matt-parker/much-as-it-took-lucas-to-revolutionize-the-search-for-mersennes/) [Matt Parker](https://sms4smile.com/quotes/author/matt-parker/) > [Why are atoms so small? ... 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Adler](https://sms4smile.com/quotes/author/mortimer-j-adler/) [Browse all 5,382 Mathematics quotes ](https://sms4smile.com/quotes/about/mathematics/) ```json { "@context": "https://schema.org", "@graph": [ { "@type": "Quotation", "text": "“Topology is that branch of mathematics which is interested in the forms of things aside from their size and shape, Two things are said to be topologically equivalent if one can be deformed smoothly into the other without sticking, cutting, or puncturing it in any way. Thus an egg is equivalent to a sphere. The first application of topology to an analogous problem-the interaction of atoms rather than elementary particles-was made in the mid-nineteenth century by Lord Kelvin. It has many striking parallels with the aims and attractions of modern string theory.”", "creator": { "@type": "Person", "name": "John D. 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