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Topologies is the mathematical study of the properties that are preserved through deformations, twistings, and stretchings of objects. Tearing, however, is not allowed. A circle is topologically equivalent to an ellipse (into which it can be deformed by stretching) and a sphere is equivalent to an ellipsoid.

**Related Journals of Topologies
**Journal of Biometrics & Biostatistics, Journal of Applied & Computational Mathematics, Journal of Physical Mathematics, Journal Statistics and Mathematical Sciences, SIAM Journal on Imaging Sciences, ACM Transactions on Algorithms, Random Structures and Algorithms, Journal for Research in Mathematics Education, Mathematics of Operations Research, Annali della Scuola Normale - Classe di Scienze, Publications of the Research Institute for Mathematical Sciences