Multiplicative counterpart of the essentially additive Borsuk-Ulam theorem as the pivoting gateway to equidimensional paired dual reciprocal spaces

Multiplicative counterpart of the essentially additive Borsuk-Ulam theorem is proposed as abstract guiding principle suitable for explanation of intricate mathematical – that is both operational/algebraic and structural/geometric – relationships existing between spaces of equal dimensionality forming dual multispatial structures, which comprise twin equidimensional dual reciprocal spaces. Under auspices of the multispatial reality paradigm, the multiplicatively inversive type of the Borsuk-Ulam theorem can thus be also interpreted as an interspatial pivoting gateway between paired dual reciprocal spaces.