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  "body": "\n## Summary\n\nTwo topological spaces have the same homotopy type when there is a [[homotopy equivalence|XZG6MTSWCN]] between them.\nThe homotopy type of a space is its class under this equivalence relation.\nMost invariants of algebraic topology, such as homotopy groups, homology and cohomology, depend only on the homotopy type.\nClassifying spaces up to homotopy type is a central aim of homotopy theory.\n\n## Explanations\n\n### L1 human\n\nThe homotopy type of a space is what is left of it after you allow any continuous squashing that can be undone up to deformation.\nA solid ball, a line and a point all have the same homotopy type.\nA circle, an annulus and a Möbius band also share one homotopy type, different from that of a point.\nThe homotopy type remembers the holes of a space but forgets its size and dimension.\n",
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