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Titlebook: Categorical Perspectives; Jürgen Koslowski,Austin Melton Book 2001 Springer Science+Business Media New York 2001 Abelian group.Category th

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Extensions of Maps from Dense Subspaces,with the structure of a separating base in the sense of Steiner. In the present paper, the generalization is carried one step further to the setting of nearness spaces in the sense of Herrlich. Thus, it is shown that by restricting the class of maps, but not the class of spaces, the (strict) completion of a nearness space becomes functorial.
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,Revisiting the Celebrated Thesis of J. de Groot: “Everything is Linear.”,.. = . ○ .. Our main results concern linearization by systems (.) in which the norm of . is < 1. By a weakening of the equivariancy condition . ○ . = . ○ ., we show that a system which does not admit a finite dimensional linearization may still be linearized in this modified sense in a finite dimensional space.
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Book 2001e 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 contr
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Book 2001searchers 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. Preuá * Y.T. Rhineghost * B.S.W. Schroeder * L. Schr"der * G.E. Strecker * A. Zmrzlina.
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https://doi.org/10.1007/978-3-319-01559-0rgence spaces fulfill a certain symmetry condition). This paper presents the solution. Furthermore, the relationships to other important subconstructs of the construct . of semiuniform convergence spaces are investigated.
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Connections and Polarities,This similarly directed movement seems to be characteristic of (many) computer science applications. In this chapter we present these concepts in their “discovery” order; we also give properties and examples. We begin with a pre-Galois connection concept, called a polarity.
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Characterizations of Subspaces of Important Types of Convergence Spaces in the Realm of Convenient rgence spaces fulfill a certain symmetry condition). This paper presents the solution. Furthermore, the relationships to other important subconstructs of the construct . of semiuniform convergence spaces are investigated.
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2297-0215 ich * M. Husek * L. Janos * J. Koslowski * V.A. Lemin * A. Melton * G. Preuá * Y.T. Rhineghost * B.S.W. Schroeder * L. Schr"der * G.E. Strecker * A. Zmrzlina.978-1-4612-7117-8978-1-4612-1370-3Series ISSN 2297-0215 Series E-ISSN 2297-024X
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