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Added LaTeX, re-formatted the question, edited the phrasing, and added a sentence at the end to motivate the 3-manifold tag. Please roll back (or edit further) if I twisted the question a bit too much.

edited Apr 13, 2017 at 20:01

Marco Golla

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Can one calculates possible mapping degrees from a connected-sum to another manifold?

Let $D(M,N)$ be the set of all possible degrees of maps from $M$ to $N$, $M_1\#M_2$ the connected sum of $M_1$ and $M_2$.

Can $D(M_1\#M_2,N)$ be calculated in terms of $D(M_1,N)$ and $D(M_2,N)$?

Can $D(N,M_1\#M_2)$ be calculated in terms of $D(N,M_1)$ and $D(N,M_2)$?

Here all manifolds are assumed to be of the same dimension $d \ge 3$. I'm especially interested in the case $d=3$.

at.algebraic-topology 3-manifolds

asked Apr 13, 2017 at 19:45

Invy S.