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• Maps of graphs
  ...to be taken to a node, the event that we will call a “collapse”<!--\index{collapse}-->: <!--150-->[[image:grid with function approximated by cell map.png|center]]
  29 KB (5,042 words) - 17:57, 28 November 2015
• Introductory algebraic topology: review exercises
  2. Represent the sphere as a cell complex with two $2$-cells, list all cells, and describe/sketch the gluing ...jective plane and represent the result as a cell complex with a single $2$-cell (standard diagram for surfaces). What is it?
  9 KB (1,553 words) - 20:10, 23 October 2012
• Homology classes under maps
  #redirect[[cell maps]] ...ightarrow Y$ is a constant map, all $k$-homology classes of $X$ with $k>0$ collapse or, algebraically speaking, are mapped to $0$ by $f_*$. Meanwhile, all $0$-
  4 KB (672 words) - 20:46, 27 August 2015
• Set-valued maps
  <!--150-->[[Image:torus collapse.png|center]] In the latter case, these cycles collapse to points and, therefore, their homology classes are lost. It remains to be
  24 KB (4,382 words) - 15:52, 30 November 2015
• Homology operator
  #redirect[[cell maps]] Given a [[cell map]] $f \colon K \rightarrow L$, the ''homology operator induced by f'',
  2 KB (388 words) - 20:49, 27 August 2015
• Algebra on graphs
  ...en to a node, the event that we will call a “collapse”<!--\index{collapsed cell}-->: We say that, in this case, the edge is ''cloned''<!--\index{cloned cell}-->.
  36 KB (6,177 words) - 02:47, 21 February 2016
• New complexes from old
  ...in examples are the following (given for [[cubical complex]]es, same for [[cell complex]]es): ...xes]]: Given a [[cubical complex]] $K$ and another cubical complex $L$ all cell of which also belong to $K$. If $\partial \colon C(K) \rightarrow C(K)$ is
  2 KB (310 words) - 13:36, 19 July 2011

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