He received private instruction in the combinatorial topology of fiber spaces in Brussels from G . Hirsch of the Agricultural University of Ghent in 1953.
12.
In 1907 he wrote with Poul Heegaard the first book on the foundations of combinatorial topology, then known as " analysis situs ".
13.
He continued to do research on combinatorial topology during a period when England was a major centre of activity notably Cambridge under the leadership of Christopher Zeeman.
14.
A related work called the grid cell topology appeared in Alexandrov-Hopf's book Topologie I ( 1935 ) can be considered as a link to classic combinatorial topology.
15.
Discrete geometry has large overlap with convex geometry and computational geometry, and is closely related to subjects such as finite geometry, combinatorial optimization, digital geometry, discrete differential geometry, geometric graph theory, toric geometry, and combinatorial topology.
16.
Like combinatorial maps, generalized maps are used as efficient data structure in image representation and processing, in geometrical modeling, they are related to simplicial set and to combinatorial topology, and this is a boundary representation model ( B-rep or BREP ), i . e . it represents object by its boundaries.
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