Little by little we are being provided with an arsenal of
operative instruments of a non-numerical nature, in the shape of
models and algorithms, capable of providing answers to the
"aggressions" which our economics and management systems must
withstand, coming from an environment full of turmoil.
In the work which we are presenting, we dare to propose a set of
elements from which we hope arise focuses capable of renewing those
structures of economic thought which are upheld by the geometrical
idea.
The concepts of pretopology and topology, habitually
marginalized in economics and management studies, have centred our
interest in recent times. We consider that it is not possible to
conceive formal structures capable of representing the Darwinism
concept of economic behaviour today without recurring to this
fundamental generalisation of metric spaces.
In our attempts to find a solid base to the structures proposed
for the treatment of economic phenomena, we have frequently
resorted to the theory of clans and the theory of affinities with
results which we believe to be satisfactory. We would like to go
further, establishing, if possible, the connection between their
axiomatics at the same time as developing some uncertain
pretopologies and topologies capable of linking previously
unconnected theories, at the same time easing the creation of other
new theories."
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