We have collected several open problems on graphs which arise in geometric topology, in particular in the following areas: (1) basic embeddability of compacta into the plane R^2; (2) approximability of maps by embeddings; (3) uncountable collections of continua in R^2 and their span; and (4) representations of closed PL manifolds by colored graphs. These problems should be of interest to both topologists and combinatorists.
Open problems on graphs arising from geometric topology / Cavicchioli, Alberto; D., Repovs; Ab, Skopenkov. - In: TOPOLOGY AND ITS APPLICATIONS. - ISSN 0166-8641. - STAMPA. - 84:(1998), pp. 207-226.
Open problems on graphs arising from geometric topology
CAVICCHIOLI, Alberto;
1998
Abstract
We have collected several open problems on graphs which arise in geometric topology, in particular in the following areas: (1) basic embeddability of compacta into the plane R^2; (2) approximability of maps by embeddings; (3) uncountable collections of continua in R^2 and their span; and (4) representations of closed PL manifolds by colored graphs. These problems should be of interest to both topologists and combinatorists.
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