A long title of this thread could have been phrased as a question “How the monkey (lar gibbon) loses its tail?” In the many centuries’ detailed classification of life, monkey belongs to the kingdom animalia. The schema of the science of taxonomy subclassifies this kind of monkeys to the phylum chordata, class mammalia, subclass theria, infraclass eutheria, order primates, suborder haplorrhini, infraorder simiiformes, parvorder catarrhini, superfamily hominoidea, family hylobatidae, genus hylobates, and species hylobates lar. In network analysis, this is an inverted tree classification. It is similar to a hierarchical one to many network designs (top-down or bottom-up). It is a flat data first-in-last-out (FILO) structure. This is used often in the design of a corporate structure from the top CEO down to the last custodial employee. The theory of networks states that there is a topology associated with each network design. This design can be expressed as a matrix of real numbers. Different topologies can be distinguished by different singular matrices all with zero determinants.
Topology is a branch of advanced mathematics. It does not concern itself with the metric, shape, and size properties of a physical object. It concerns an abstract property called the genus (hole property). The genus of a closed spherical surface is zero. The genus of the closed surface of a torus is 1. However, the genus of a tea cup with an attached closed loop handle is also 1. It is topologically equivalent to the torus. The tea cup with an open handle is topologically equivalent to the sphere. The topology of life for kingdom animalia is an open cylinder with noticeable holes. For kingdom plantae the topology is a multiple layers of cylinders, some with more or less holes than others. Finally, the answer to the opening question: the monkey never loses its tail since it is always topologically equivalent to all the other monkeys of the same order of the primates.


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