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Categorical Closure Operators (Paperback, Softcover reprint of the original 1st ed. 2003)
Loot Price: R1,528
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Categorical Closure Operators (Paperback, Softcover reprint of the original 1st ed. 2003)
Series: Mathematics: Theory & Applications
Expected to ship within 10 - 15 working days
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This book presents the general theory of categorical closure
operators to gether with a number of examples, mostly drawn from
topology and alge bra, which illustrate the general concepts in
several concrete situations. It is aimed mainly at researchers and
graduate students in the area of cate gorical topology, and to
those interested in categorical methods applied to the most common
concrete categories. Categorical Closure Operators is
self-contained and can be considered as a graduate level textbook
for topics courses in algebra, topology or category theory. The
reader is expected to have some basic knowledge of algebra,
topology and category theory, however, all categorical concepts
that are recurrent are included in Chapter 2. Moreover, Chapter 1
contains all the needed results about Galois connections, and
Chapter 3 presents the the ory of factorization structures for
sinks. These factorizations not only are essential for the theory
developed in this book, but details about them can not be found
anywhere else, since all the results about these factorizations are
usually treated as the duals of the theory of factorization
structures for sources. Here, those hard-to-find details are
provided. Throughout the book I have kept the number of assumptions
to a min imum, even though this implies that different chapters may
use different hypotheses. Normally, the hypotheses in use are
specified at the beginning of each chapter and they also apply to
the exercise set of that chapter."
General
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