Semilocally simply-connected spaces: 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 proved5Proved, and every prerequisite is fully proved too.
graph LR
n0["Semilocally simply-connected spaces"]:::fully_proved
n1["The path-class universal-cover space"]:::fully_proved
n2("Small nullhomotopy neighborhoods form a basis"):::fully_proved
n3["Pointed connected covers are classified by subgroups"]:::fully_proved
n4["Connected covers are classified by conjugacy classes"]:::fully_proved
n3 -.-> n4
n0 --> n3
n0 --> n2
n0 --> n1
n0 --> n4
class n0 focus
click n0 "../../../../../roadmap/fundamental-group/covering-spaces/universal-cover/index.html#semilocally-simply-connected" "Semilocally simply-connected spaces — 1 item · 1 fully proved"
click n1 "../../../../../roadmap/fundamental-group/covering-spaces/universal-cover/index.html#universal-cover-path-space" "The path-class universal-cover space — 1 item · 1 fully proved"
click n2 "../../../../../roadmap/fundamental-group/covering-spaces/universal-cover/index.html#nullhomotopic-open-basis" "Small nullhomotopy neighborhoods form a basis — 1 item · 1 fully proved"
click n3 "../../../../../roadmap/fundamental-group/covering-spaces/index.html#pointed-cover-classification" "Pointed connected covers are classified by subgroups — 1 item · 1 fully proved"
click n4 "../../../../../roadmap/fundamental-group/covering-spaces/index.html#unpointed-cover-classification" "Connected covers are classified by conjugacy classes — 1 item · 1 fully proved"