Definitions
There is 1 meaning of the phrase
Analysis Situs.
Analysis Situs - as a noun
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
Synonyms (Exact Relations)
topologyExample Sentences
"Understanding the concept of analysis situs is essential for studying the topological properties of various shapes."
"The analysis situs of a closed curve can involve determining its genus and other topological characteristics."
"In analysis situs, one often considers objects up to homeomorphism, focusing on their topological rather than metric properties."
"The concept of analysis situs was developed by Henri Poincaré in the late 19th century."
"Many important results in analysis situs were established by applying techniques from algebraic topology."
