- Give a detailed definition of the singular homology group \(H_p(X)\) for a fixed positive integer \(p\).
- Find a CW complex \(X\) such that \[ H_5(X)\cong\mathbb Z/2011\mathbb Z, \qquad H_6(X)\cong\mathbb Z, \] and all other positive-dimensional homology groups vanish.
- State the Mayer–Vietoris theorem.
Singular homology, a prescribed CW homology example, and Mayer--Vietoris
P-WESTOP11-5
- Area
- Topology
- Seen at
- WESLEYAN
- Years
- 2011
- Status
- draft