combinatorial topology वाक्य
उदाहरण वाक्य
मोबाइल
- The new combinatorial topology formally treated topological classes as abelian groups.
- This initiated, one could say, the era of combinatorial topology.
- Digital topology is highly related to combinatorial topology.
- It should not be confused with combinatorial topology which is an older name for algebraic topology.
- Topological-balls are important in combinatorial topology, as the building blocks of cell complexes.
- He also first introduced the basic concepts and invariants of combinatorial topology, such as Betti numbers and the fundamental group.
- The subsequent spread of homology groups brought a change of terminology and viewpoint from " combinatorial topology " to " algebraic topology ".
- Rosenfeld ( 1973 ) proposed digital topology for a type of image processing that can be considered as a new development of combinatorial topology.
- He later co-authored, with Max Dehn, a foundational article on combinatorial topology, in the form of an encyclopedia entry.
- He worked on the foundations of combinatorial topology, and proposed that a notion of equivalence be defined using only three elementary " moves ".
- He received private instruction in the combinatorial topology of fiber spaces in Brussels from G . Hirsch of the Agricultural University of Ghent in 1953.
- In 1907 he wrote with Poul Heegaard the first book on the foundations of combinatorial topology, then known as " analysis situs ".
- 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.
- 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.
- 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.
- 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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