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Pairings of Binary reflexive relational structures.Chishwashwa, Nyumbu. January 2008 (has links)
<p>The main purpose of this thesis is to study the interplay between relational structures and topology , and to portray pairings in terms of some finite poset models and order preserving maps. We show the interrelations between the categories of topological spaces, closure spaces and relational structures. We study the 4point nonHausdorff model S4 weakly homotopy equivalent to the circle S1. We study pairings of some objects in the category of relational structures similar to the multiplication S4 x S4 S4 S4 fails to be order preserving for posets. Nevertheless, applying a single barycentric subdivision on S4 to get S8, an 8point model of the circle enables us to define an order preserving poset map S8 x S8 S4. Restricted to the axes, this map yields weak homotopy equivalences S8 x S8, we obtain a version of the Hopf map S8 x S8s  SS4. This model of the Hopf map is in fact a map of nonHausdorff double map cylinders.</p>

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NonArchimedian norms and boundsByers, Victor. January 1967 (has links)
No description available.

23 
Concerning a problem of K. KuratowskiNguyen, VanTrinh, Heath, Jo W. January 2006 (has links) (PDF)
Thesis(M.S.)Auburn University, 2006. / Abstract. Vita. Includes bibliographic references (p.22).

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Sobriety of crisp and fuzzy topological spaces /JacotGuillarmod, Paul. January 2003 (has links)
Thesis (M. Sc. (Mathematics))Rhodes University, 2004.

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Cp(X,Z)Drees, Kevin Michael. January 2009 (has links)
Thesis (Ph.D.)Bowling Green State University, 2009. / Document formatted into pages; contains vi, 119 p. Includes bibliographical references.

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On stable homeomorphisms of Euclidean nspaceWright, Thomas Perrin, January 1967 (has links)
Thesis (Ph. D.)University of WisconsinMadison, 1967. / Typescript. Vita. Includes bibliographical references.

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Pairings of Binary reflexive relational structuresChishwashwa, Nyumbu January 2008 (has links)
Magister Scientiae  MSc / The main purpose of this thesis is to study the interplay between relational structures and topology , and to portray pairings in terms of some finite poset models and order preserving maps. We show the interrelations between the categories of topological spaces, closure spaces and relational structures. We study the 4point nonHausdorff model S4 weakly homotopy equivalent to the circle S1. We study pairings of some objects in the category of relational structures similar to the multiplication S4 x S4 S4 S4 fails to be order preserving for posets. Nevertheless, applying a single barycentric subdivision on S4 to get S8, an 8point model of the circle enables us to define an order preserving poset map S8 x S8 S4. Restricted to the axes, this map yields weak homotopy equivalences S8 x S8, we obtain a version of the Hopf map S8 x S8s  SS4. This model of the Hopf map is in fact a map of nonHausdorff double map cylinders. / South Africa

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Aspects of fuzzy spaces with special reference to cardinality, dimension, and orderhomomorphismsLubczonok, Pawel January 1992 (has links)
Aspects of fuzzy vector spaces and fuzzy groups are investigated, including linear independence, basis, dimension, group order, finitely generated groups and cyclic groups. It was necessary to consider cardinality of fuzzy sets and related issues, which included a question of ways in which to define functions between fuzzy sets. Among the results proved, are the additivity property of dimension for fuzzy vector spaces, Lagrange's Theorem for fuzzy groups ( the existing version of this theorem does not take fuzziness into account at all), a compactness property of finitely generated fuzzy groups and an extension of an earlier result on the orderhomomorphisms. An open question is posed with regard to the existence of a basis for an arbitrary fuzzy vector space.

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(L, M)fuzzy topological spacesMatutu, Phethiwe Precious January 1992 (has links)
The objective of this thesis is to develop certain aspects of the theory of (L,M)fuzzy topological spaces, where L and M are complete lattices (with additional conditions when necessary). We obtain results which are to a large extent analogous to results given in a series of papers of Šostak (where L = M = [0,1]) but not necessarily with analogous proofs. Often, our generalizations require a variety of techniques from lattice theory e.g. from continuity or complete distributive lattices.

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Sobriety of crisp and fuzzy topological spacesJacotGuillarmod, Paul January 2004 (has links)
The objective of this thesis is a survey of crisp and fuzzy sober topological spaces. We begin by examining sobriety of crisp topological spaces. We then extend this to the L topological case and obtain analogous results and characterizations to those of the crisp case. We then brie y examine semisobriety of (L;M)topological spaces.

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