Topological Methods in ChemistryISBN: 9780471838173
256 pages
March 1989

Introduces a new method and language, based on finite topological spaces, for investigating molecular structure. Eschews the ``theoremproofremarks'' format of mathematics in favor of a more readable style commonly used in physical science. Part I develops the mathematical machinery which can serve as an analytical tool to investigate nonmetric aspects of chemical structure. Specific topics covered include set theory, lattices, graph theory, connectivity, classification of spaces, combinatorics, and functions and continuity. Part II explains the application of the above concepts to molecular structure. Chapters cover the bond topology, the graph topology, duplex spaces, and the topology of chemical reactions. Eight appendixes cover ancillary topics.
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Partial table of contents:
FINITE TOPOLOGY.
Topological Spaces.
Finite Topologies and Lattices.
Finite Topologies and Graph Theory.
Connectivity.
Classification of Topological Spaces: Separation Axioms.
Combinatorics.
Functions and Continuity.
FINITE TOPOLOGY AND CHEMISTRY.
Topological Description of Molecular Structure.
Bond Topology.
Graph Topology.
Duplex Spaces.
Topology of Chemical Reactions.
Appendixes.
Bibliography.
Index.
FINITE TOPOLOGY.
Topological Spaces.
Finite Topologies and Lattices.
Finite Topologies and Graph Theory.
Connectivity.
Classification of Topological Spaces: Separation Axioms.
Combinatorics.
Functions and Continuity.
FINITE TOPOLOGY AND CHEMISTRY.
Topological Description of Molecular Structure.
Bond Topology.
Graph Topology.
Duplex Spaces.
Topology of Chemical Reactions.
Appendixes.
Bibliography.
Index.
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