Timeline for $\partial$-incompressibility of a surface obtained when attaching a 2-handle to an irreducible 3-manifold produces a reducible 3-manifold
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| Aug 24 at 14:06 | vote | accept | YC Su | ||
| Aug 4 at 8:09 | comment | added | Sam Nead | @AllenHatcher - I got so wrapped up in writing out an answer that I forgot to think about looking for references. So, by way of apology, perhaps I can relate a story. When attending very large conference (1000+), I chatted with the Cambridge University Press representative. I made a point of thanked them for publishing your book "Algebraic Topology". And the representative then immediately mentioned your three-manifold notes, and how much they wished that they could publish that, as well... :) | |
| Aug 4 at 7:59 | history | edited | Sam Nead | CC BY-SA 4.0 |
added 14 characters in body
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| Aug 2 at 20:48 | comment | added | Allen Hatcher | This argument proves the general fact that an incompressible surface in an irreducible 3-manifold, with the boundary of the surface contained in torus boundary components of the 3-manifold, is either boundary incompressible or a boundary-parallel annulus. This is Lemma 1.11 of the current version of my Notes on Basic 3-Manifold Topology, available on my webpage. | |
| Aug 2 at 20:34 | history | answered | Sam Nead | CC BY-SA 4.0 |