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Your search keyword '"Georgakopoulos, Agelos"' showing total 2 results
Start Over Author "Georgakopoulos, Agelos" Journal bulletin of the london mathematical society
2 results on '"Georgakopoulos, Agelos"'

1. 2‐complexes with unique embeddings in 3‐space

Author

Georgakopoulos, Agelos and Kim, Jaehoon

Subjects
Mathematics - Geometric Topology, General Mathematics, FOS: Mathematics, Mathematics - Combinatorics, Geometric Topology (math.GT), Combinatorics (math.CO)
Abstract

A well-known theorem of Whitney states that a 3-connected planar graph admits an essentially unique embedding into the 2-sphere. We prove a 3-dimensional analogue: a simply-connected $2$-complex every link graph of which is 3-connected admits an essentially unique locally flat embedding into the 3-sphere, if it admits one at all. This can be thought of as a generalisation of the 3-dimensional Schoenflies theorem.

Published
2022

2. 2‐complexes with unique embeddings in 3‐space.

Author

Georgakopoulos, Agelos and Kim, Jaehoon

Subjects
*GENERALIZATION, *PLANAR graphs
Abstract

A well‐known theorem of Whitney states that a 3‐connected planar graph admits an essentially unique embedding into the 2‐sphere. We prove a 3‐dimensional analogue: a simply‐connected 2‐complex every link graph of which is 3‐connected admits an essentially unique locally flat embedding into the 3‐sphere, if it admits one at all. This can be thought of as a generalisation of the 3‐dimensional Schoenflies theorem. [ABSTRACT FROM AUTHOR]

Published
2023
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