House with two rooms
Encyclopedia
House with two rooms or Bing's house is a particular contractible 2-complex
Simplicial complex
In mathematics, a simplicial complex is a topological space of a certain kind, constructed by "gluing together" points, line segments, triangles, and their n-dimensional counterparts...

 that is not collapsible
Collapse (topology)
In topology, a branch of mathematics, collapse is a concept due to J. H. C. Whitehead.- Definition :Let K be a simplicial complex, and suppose that s is a simplex in K. We say that s has a free face t if t is a face of s and t has no other cofaces. We call a free pair...

.

The name was given by R. H. Bing.

External links

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