analysis situs

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Related to analysis situs: Poincare theorem
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  • noun

Synonyms for analysis situs

the branch of pure mathematics that deals only with the properties of a figure X that hold for every figure into which X can be transformed with a one-to-one correspondence that is continuous in both directions

References in periodicals archive ?
A few years later, Poincare stated the Poincare duality and provided a preliminary proof (2) in his 1895 seminal paper Analysis situs, which marked the formal establishment of algebraic topology (Ferreiros, 2010b).
Poincare H (2010) Papers on Topology: Analysis Situs and Its Five Supplements.
Papers on topology; Analysis situs and its five supplements.
He translated the rest, and here presents the entire series of Analysis situs papers, written and published between 1894 and 1904.
One could think of the diverse variants from the theory of parallels, particularly from the time of Thabit ibn Qurra, to the sort of analysis situs conceived by Ibn al-Haytham, for the doctrines of the invisibles in the seventeenth century.
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