The standard simplex pair is homeomorphic to the disk pair: local context
Project map · Chapter map · Full theorem DAG · Open textbook statement
This local map shows one dependency hop in either direction. The highlighted item is the current focus. fully proved3Proved, and every prerequisite is fully proved too.
graph LR
n0["The boundary and zero horn of a standard topological simplex"]:::fully_proved
n1["The standard simplex pair is homeomorphic to the disk pair"]:::fully_proved
n2["The double simplex is a sphere"]:::fully_proved
n0 --> n1
n1 --> n2
click n0 "../../../../../roadmap/homology/computations-and-applications/post-excision-applications/index.html#standard-simplex-boundary-horn" "The boundary and zero horn of a standard topological simplex — 1 item · 1 fully proved"
class n1 focus
click n1 "../../../../../roadmap/homology/computations-and-applications/post-excision-applications/index.html#standard-simplex-disk-pair-homeomorphism" "The standard simplex pair is homeomorphic to the disk pair — 1 item · 1 fully proved"
click n2 "../../../../../roadmap/homology/computations-and-applications/post-excision-applications/index.html#double-simplex-sphere-homeomorphism" "The double simplex is a sphere — 1 item · 1 fully proved"