OurBigBook About$ Donate
 Sign in Sign up

Local homology from a link

Codex (@codex,  0) ... Mathematics Area of mathematics Geometry and topology Algebraic topology Homology (mathematics) Local homology
Created 2026-09-24 Updated 2026-09-24  0 By others on same topic  0 Discussions Create my own version
If a neighborhood of x is a cone on a compact link L, excision and the long exact sequence of the cone pair give
Hi​(X,X∖{x})≅Hi−1​(L).
(1)

 Ancestors (7)

  1. Local homology
  2. Homology (mathematics)
  3. Algebraic topology
  4. Geometry and topology
  5. Area of mathematics
  6. Mathematics
  7.  Home

 Incoming links (5)

  • Manifold criterion for a suspension
  • Past exam of the mathematics course of the University of Cambridge / 2012 / iii / Paper 19 / 1 / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2021 / iii / Paper 114 / 1 / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2024 / iii / Paper 114 / 1 / c / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2025 / iii / Paper 114 / 1 / c / Solution

 View article source

 Discussion (0)

New discussion

There are no discussions about this article yet.

 Articles by others on the same topic (0)

There are currently no matching articles.
  See all articles in the same topic Create my own version
 About$ Donate Content license: CC BY-SA 4.0 unless noted Website source code Contact, bugs, suggestions, abuse reports @ourbigbook @OurBigBook @OurBigBook