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• Test
  #[[Open and closed sets]] #[[Homology of balls and spheres]]
  16 KB (2,139 words) - 23:01, 9 February 2015
• More metric complexes
  *small balls connected by rods, or ...ch vertex and suppose $|K|$ is its realization. Then the set of all cells (open or closed) $\Sigma$ of $K$ as subsets of $|K|$ form a $\sigma$-algebra, i.e
  21 KB (3,445 words) - 13:53, 19 February 2016
• Euclidean space
  ...oods and topologies|base of the topology]] is the collection of all "open" balls in $X={\bf R}^n$:
  1 KB (201 words) - 14:41, 12 August 2018
• Hodge duality of cubical forms
  ...result it typical in the sense that the dual of a "closed" complex is an "open" complex. The solution is either to include in $K^*$ all boundary cells of *small balls connected by rods, or
  7 KB (1,114 words) - 18:10, 27 August 2015
• Advanced Calculus II -- Spring 2017 -- midterm
  ...'''2.''' Suppose $X$ is a metric space. Prove that there are disjoint open balls around $x$ and $y$ whenever $x\ne y$.
  970 bytes (168 words) - 20:17, 14 March 2017
• Applied Topology and Geometry
  #[[Open and closed sets]] #[[Homology of balls and spheres]]
  16 KB (2,088 words) - 16:37, 29 November 2014
• Singular chain complexes
  '''Theorem (Refinement).''' If $(X,A)$ is a pair and $\gamma$ is an open cover of $X$, then the chain map generated by the [[inclusion]] of the sum
  8 KB (1,367 words) - 13:49, 4 August 2013

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