August 17, 2023

Mathematical and Molecular Topology

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Free Download Mathematical and Molecular Topology by Lorentz JÄNTSCHI and Mihaela Tomescu
English | PDF | 2023 | 80 Pages | ISBN : N/A | 5.9 MB
Topology is one of the fundamental tools in relating entities. Topology naturally finds application in all fields of engineering, physical sciences, life sciences, social sciences, medicine, business and even the arts. The motivating insight behind topology is that some geometric problems depend not on the exact shape of the objects involved, but rather on the way they are put together. Circa 1750, Euler stated the polyhedron formula, V − E + F = 2 (where V, E, and F respectively indicate the number of vertices, edges, and faces of the polyhedron), which may be regarded as the first theorem, signaling the birth of topology. Subjects included in topology are algebraic topology and graph theory. A related branch to graph theory is molecular topology (with concerns of either chemical or biological structure).

The Special Issue Mathematical and Molecular Topology received 10 submitted manuscripts from which 5 were accepted and published (50% success rate). Two manuscripts are related to mathematical topology, while the other three are related to molecular topology.
Mathematical Topology Related Works
A preclosure operator or Cˇ ech closure operator is a map between subsets of a set, similar to a topological closure operator, except that it is not required to be idempotent. π-normal, weakly π-normal and κ-normal generalizations of normality in Cˇ ech closure space are defined and characterized using canonically closed sets in [1]. An important result connects those spaces: the class of κ-normal spaces contains both the classes of weakly π-normal and almost normal Cech closure spaces.
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