Search results

Create the page "Classification of abelian groups" on this wiki! See also the search results found.

• Robustness of topology of digital images and point clouds by Saveliev
  ''Robustness of topology of digital images and point clouds'' by [[Peter Saveliev]] ...rd the features that lie outside the user's choice of the acceptable level of noise.
  27 KB (4,547 words) - 04:08, 6 November 2012
• Chain complexes
  We now review what it takes to have ''arbitrary ring of coefficients'' $R$. *with $R={\bf Z}$, the chain groups are abelian groups,
  33 KB (5,293 words) - 03:06, 31 March 2016
• Cubical complex
  ...}^N$. Suppose also that we have its decomposition ${\mathbb R}^N$, a list of all (closed) cubical cells in our grid. ...boundary operator is well defined. This requires us to include all “faces” of the cells already present.
  29 KB (4,800 words) - 13:41, 1 December 2015
• Contemporary Abstract Algebra by Gallian
  A lot of content, examples, and applications. *Properties of [[integers]] 3
  5 KB (568 words) - 15:23, 16 November 2011
• Cubical complexes
  ...Z}^N$. Suppose also that we have its decomposition ${\mathbb R}^N$, a list of all (closed) cubical cells in our grid. ...which the boundary operator is well-defined; i.e., $K$ includes all faces of the cells it contains.
  20 KB (3,319 words) - 14:18, 18 February 2016
• Cochain complexes and cohomology
  *$\Omega^1({\bf R})$ is the set of $1$-forms in ${\bf R}$, and *$\Omega^0({\bf R})$ is the set of $0$-forms in ${\bf R}$
  17 KB (2,592 words) - 14:38, 14 April 2013
• Group theory: course
  This is a one-semester course in modern algebra and groups. *Definition of [[group]]
  1 KB (132 words) - 15:17, 19 September 2013
• Topological equivalence
  ...uous along with its inverse, create an [[equivalence relation]] on the set of all topological spaces. Q: classify closed subsets of ${\bf R}^2$ homeomorphic to ${\bf S}^1$, the circle.
  2 KB (276 words) - 23:24, 30 November 2012