6 problems

Let $M$ be one of the manifolds considered in Sections 2.3 and 2.4, and let $P$ be the corresponding spine constructed there. If $P$ has $k$ vertices, then minimality conjecture.…

Local monotonicity conjecture. Then $P$ is connected to $Q$ by a monotonic sequence.

2-0-to-monotonic connectivity conjecture. Then $P$ is connected to $Q$ by a monotonic sequence.

Non-generic smooth immersion conjecture. The conclusion of Proposition 2 should hold without the genericity hypothesis: every Bing spine in $M$ parametrized by a smooth immersion o…

Smooth parametrization rigidity conjecture. Any Bing spine of $\times I$ that can be smoothly parametrized by an immersion of … .

Special-trivalent-spine conjecture. We conjecture that an $(n+1)$-dimensional $X$ admits a traversing concave field $v$ such that