## Categorical Perspectives"Categorical Perspectives" consists of introductory surveys as well as articles containing original research and complete proofs devoted mainly to the theoretical and foundational developments of category theory and its applications to other fields. A number of articles in the areas of topology, algebra and computer science reflect the varied interests of George Strecker to whom this work is dedicated. Notable also are an exposition of the contributions and importance of George Strecker's research and a survey chapter on general category theory. This work is an excellent reference text for researchers and graduate students in category theory and related areas. Contributors: H.L. Bentley * G. Castellini * R. El Bashir * H. Herrlich * M. Husek * L. Janos * J. Koslowski * V.A. Lemin * A. Melton * G. Preu * Y.T. Rhineghost * B.S.W. Schroeder * L. Schr"der * G.E. Strecker * A. Zmrzlina |

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### Contents

The Functor that Wouldnt | 29 |

Too Many Functors | 47 |

Contributions and Importance | 63 |

Copyright | |

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### Common terms and phrases

abelian groups Adamek adjoint algebraic axiom B-system C-closed C-compact called cardinal cartesian closed Castellini categorical topology category theory Cauchy closure operator clump cluster compact compactification complete concrete categories construction continuous maps convergence space copnumber coproduct cops coreflective defined Definition denote diagram embedding epimorphisms epireflective equivalent Example exists factorization systems filter space finite forgetful functor full subcategory function functor F Galois connections George Giuli Hausdorff spaces Hence homomorphism Horst Herrlich hull idempotent implies injective internal copy intersection isometric isomorphic Lemma linear M-subobject Masta Math Mathematics metric spaces monomorphisms morphisms natural transformation nearness space non-expanding notion objects obtain order-preserving Problem Proof properties Proposition pullbacks reflective subcategories robber territory semiuniform convergence spaces Strecker structure subgroup subobject subsets subspace subtopological SUConv superb map surjective Theorem topo topological spaces torsion ultrametric space uniformly continuous uniquely solvable weakly hereditary