On Face-Vectors and Vertex-Vectors of Cell-Decompositions of Orientable 2-Manifolds

✍ Scribed by E. Jucovič

• Publisher: John Wiley and Sons
• Year: 1976
• Tongue: English
• Weight: 502 KB
• Volume: 73
• Category: Article
• ISSN: 0025-584X
• DOI: 10.1002/mana.19760730121

✦ Synopsis

Dedicnted to the Memory of M y Parents (Eingegangen am 3. 1.1975) BILINSKI [2].) Obviously and from EULER'S formula (f(M) +v(lM) -h ( M ) ) = 2 (1 -9) (where f(iV) or h ( M ) or v ( M ) denotes the number of 2-, or 1-or O-cells of M , respectively) follow the equalities C i . p i ( M ) = C,i.v,(N)=Zh(N)=O (mod 2 )

However these assertions do not impose sufficient condit'ions for a pair of vect'ors ( p t ) , (wi) t o be the face-and vert'ex-vector of a decomposition of T,.