Lexic.us

Definition of Analysis situs

1. 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.

Definition of Analysis situs

1. Noun. (obsolete mathematics) topology ¹

¹ Source: wiktionary.com

Lexicographical Neighbors of Analysis Situs

Literary usage of Analysis situs

Below you will find example usage of this term as found in modern and/or classical literature:

1. Report of the Annual Meeting (1885)
"... and so will give immediately the tact in variant ofp^ and a 3 for which we have Icen looking-. 6. On the ' analysis situs ' of ..."

2. The Madison Colloquium 1913 by Leonard Eugene Dickson, William Fogg Osgood (1914)
"analysis situs In closing we refer briefly to the subject of analysis situs in the geometry ... An elementary geometric treatment of the analysis situs of ..."

3. The Encyclopedia Americana: A Library of Universal Knowledge (1918)
"analysis situs. Let a geometrical figure — sav a closed surface in common space — be subjected to any change of form (bending, stretching, etc. ..."

4. Popular Science Monthly (1906)
"The theorems of analysis situs have, therefore, this peculiarity that they would remain ... The real qualitative geometry is, therefore, analysis situs. ..."

5. The Value of Science by Henri Poincaré, George Bruce Halsted (1907)
"The real qualitative geometry is, therefore, analysis situs. The same questions which came up apropos of the truths of Euclidean geometry, ..."

6. The Foundations of Science: Science and Hypothesis, The Value of Science by Henri Poincaré (1913)
"The theorems of analysis situs have, therefore, this peculiarity, that they would remain ... The real qualitative geometry is, therefore, analysis situs. ..."

7. A History of Mathematics by Florian Cajori (1919)
"... Various researches have been brought under the head of "analysis situs." The subject was first investigated by GW Leibniz, and was later treated by L. ..."

Other Resources: