Every abstract cell attachment has an indexed cone model: 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 proved6Proved, and every prerequisite is fully proved too.
graph LR
n0["An indexed cone attachment is a standard cell attachment"]:::fully_proved
n1["Every abstract cell attachment has an indexed cone model"]:::fully_proved
n2("An open-cover model for attached cells"):::fully_proved
n3["An attachment with no cells is an isomorphism"]:::fully_proved
n4("Overlap meridians recover the attaching loops"):::fully_proved
n5("Higher-cell attachments preserve path components"):::fully_proved
n1 --> n2
n1 --> n4
n1 --> n3
n1 -.-> n5
n3 -.-> n5
n0 --> n1
click n0 "../../../../../roadmap/fundamental-group/van-kampen/cell-attachment-support/index.html#indexed-basic-cell-attachment" "An indexed cone attachment is a standard cell attachment — 1 item · 1 fully proved"
class n1 focus
click n1 "../../../../../roadmap/fundamental-group/van-kampen/cell-attachment-support/index.html#abstract-cell-attachment-indexed-model" "Every abstract cell attachment has an indexed cone model — 1 item · 1 fully proved"
click n2 "../../../../../roadmap/fundamental-group/van-kampen/index.html#cell-attachment-cover-model" "An open-cover model for attached cells — 1 item · 1 fully proved"
click n3 "../../../../../roadmap/fundamental-group/van-kampen/cell-attachment-support/index.html#empty-cell-attachment-iso" "An attachment with no cells is an isomorphism — 1 item · 1 fully proved"
click n4 "../../../../../roadmap/fundamental-group/van-kampen/cell-attachment-support/auxiliary/index.html#auxiliary-overlap-attaching-map" "Overlap meridians recover the attaching loops — 1 item · 1 fully proved"
click n5 "../../../../../roadmap/fundamental-group/van-kampen/cell-attachment-support/index.html#higher-cell-attachment-path-components" "Higher-cell attachments preserve path components — 1 item · 1 fully proved"