Three unrecovered disk-identification spaces from the June 2014 Wesleyan exam

The source asks about three identification spaces of the disk, specified by a diagram that is not present in the retained Markdown extraction.

For each of the three source spaces it asks:

1. Compute the fundamental group.
2. Compute the homology groups.
3. Determine which of the spaces are manifolds.

The three boundary-identification diagrams are unrecovered, so no quotient descriptions are supplied here by inference.