House with two rooms
Topological space

In topology, the house with two rooms or Bing's house is a particular contractible, 2-dimensional simplicial complex that is not collapsible. The name was given by R. H. Bing.
The house is made of 2-dimensional panels, and has two rooms. The upper room may be entered from the bottom face, while the lower room may be entered from the upper face. There are two small panels attached to the tunnels between the rooms, which make this simplicial complex contractible.
This brief starts where responsible research should: with the source description of “House with two rooms” as topological space. Everything that follows is an evidence route, not borrowed authority.
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The subject matters to the general reference register because the source frames it as topological space. Its deeper value depends on whether names, dates, institutions and citations support that framing.
The citation trail is more important than the brevity of the summary: it shows where individual claims can be examined in context. The source revision retrieved here is dated Sep 3, 2026. The linked authority identifier is Q16902428. None of the 0 selected statements returned an explicit reference.
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This entry incorporates text from “House with two rooms” on English Wikipedia. Contributors are listed in the page history. Text is available under the Creative Commons Attribution-ShareAlike 4.0 License. Selected authority identifiers and statements are retrieved from Wikidata under CC0; their references and qualifiers remain part of the verification path.