Titlebook: Categories; Horst Schubert Book 1972 Springer-Verlag Berlin Heidelberg 1972 Adjoint functor.Categories.Coproduct.Initial object.Kategorie.

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Conceiving the Earth Itself as Our Gardentegories whose objects are functors .→. and whose morphisms are natural transformation. However, familiar antinomies like “the set of all sets.” or “the set of all sets not containing themselves as an element” show that precise definitions are necessary.

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https://doi.org/10.1007/978-3-319-07683-6We have already had occasion to consider commutative diagrams. They were all rectangles. We shall now provide the means for discussing more general diagrams. To grasp the “form” of a diagram we use the concept of a diagram scheme.

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Categories,In the beginning every axiomatic theory is poor in theorems and rich in definitions which must be clarified by examples. Observe however, that every example is an assertion whose verification is in general left to the reader. It is not necessary that the reader be acquainted with all examples.

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Diagrams,We have already had occasion to consider commutative diagrams. They were all rectangles. We shall now provide the means for discussing more general diagrams. To grasp the “form” of a diagram we use the concept of a diagram scheme.

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