A STUDY OF CATEGORICAL MODEL OF MULTISETS
A STUDY OF CATEGORICAL MODEL OF MULTISETS
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Date
2012-11
Authors
IBRAHIM, ISAH,
AHMED
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Abstract
ABSTRACT
We present a crisp and critical survey of the development of the theory of categories
which formed the content of our paper titled, A Survey of the Development of the Theory
of Categories, published at International Journal of Innovation Management and
Technology, vol.3, No. 2, (2012) pp. 156-159. It is observed that the theory originally
arose in mathematics out of the need of formalism to describe the passage from one type
of mathematical structure to another, and later became an autonomous field of research
that has now occupied a central position in most of the branches of mathematics, some
areas of theoretical computer science and mathematical physics. We emphasized that,
basically the theory of categories studies structures in terms of the mappings between
them. This as well applies to categories themselves taken as structures with functors as
the mappings between them. Furthermore, the mappings in categories can be applied to
functors to form mappings between the functors called Natural transformations.
We show that multisets determine a category denoted Mul. Fundamental notions of
categories of sets are defined in multiset context. Finally, we develop and prove various
propositions in Mul.
Description
DEPARTMENT OF MATHEMATICS, FACULTY OF SCIENCE
AHMADU BELLO UNIVERSITY,
ZARIA, NIGERIA
Keywords
STUDY,, CATEGORICAL,, MODEL,, MULTISETS