On existence and classification of the 3-thickenings of 2-polyhedra
Repovš, Dušan, 1954- ; Brodskij, Nikolaj B. ; Skopenkov, Arkadij B.
Obravnavamo problem 3-odebeljivosti, t.j. vložljivosti v poljubno 3-mnogoterost, za 2-poliedre in problem klasifikacije 3-odebelitev. Naš glavni rezultat pravi, da je 2-polieder P (ne nujno ...orientabilno) 3-odebeljiv tedaj in le tedaj, ko obstaja (neorientabilno) zvesta vložitev v ▫$\varepsilon \in E(P)$▫, za katero velja ▫$\delta \beta (\varepsilon) = 0$▫. Podan je tudi kriterij za homeomorfnost odebelitev ter nekaj zanimivih posledic.
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