| Titre : | Beyond topology | | Type de document : | texte imprimé | | Auteurs : | Frédéric MYNARD, Editeur scientifique ; Elliott PEARL, Editeur scientifique | | Editeur : | Providence, R. I. [Etats Unis] : American Mathematical Society | | Année de publication : | cop. 2009 | | Collection : | Contemporary mathematics, ISSN 0271-4132 num. 486 | | Importance : | VIII-383 p. | | ISBN/ISSN/EAN : | 978-0-8218-4279-9 | | Langues : | Anglais | | Catégories : | 54-02
54AXX
| | Mots-clés : | espace topologique topologie | | Résumé : | The purpose of this collection is to guide the non-specialist through the basic theory of various generalizations of topology, starting with clear motivations for their introduction. Structures considered include closure spaces, convergence spaces, proximity spaces, quasi-uniform spaces, merotopic spaces, nearness and filter spaces, semi-uniform convergence spaces, and approach spaces. Each chapter is self-contained and accessible to the graduate student, and focuses on motivations to introduce the generalization of topologies considered, presenting examples where desirable properties are not present in the realm of topologies and the problem is remedied in the more general context. Then,enough material will be covered to prepare the reader for more advanced papers on the topic. While category theory is not the focus of the book, it is a convenient language to study these structures and, while kept as a tool rather than an object of study, will be used throughout the book. For this reason, the book contains an introductory chapter on categorical topology. | | Note de contenu : | index,références |
Beyond topology [texte imprimé] / Frédéric MYNARD, Editeur scientifique ; Elliott PEARL, Editeur scientifique . - Providence, R. I. (Etats Unis) : American Mathematical Society, cop. 2009 . - VIII-383 p.. - ( Contemporary mathematics, ISSN 0271-4132; 486) . ISBN : 978-0-8218-4279-9 Langues : Anglais | Catégories : | 54-02
54AXX
| | Mots-clés : | espace topologique topologie | | Résumé : | The purpose of this collection is to guide the non-specialist through the basic theory of various generalizations of topology, starting with clear motivations for their introduction. Structures considered include closure spaces, convergence spaces, proximity spaces, quasi-uniform spaces, merotopic spaces, nearness and filter spaces, semi-uniform convergence spaces, and approach spaces. Each chapter is self-contained and accessible to the graduate student, and focuses on motivations to introduce the generalization of topologies considered, presenting examples where desirable properties are not present in the realm of topologies and the problem is remedied in the more general context. Then,enough material will be covered to prepare the reader for more advanced papers on the topic. While category theory is not the focus of the book, it is a convenient language to study these structures and, while kept as a tool rather than an object of study, will be used throughout the book. For this reason, the book contains an introductory chapter on categorical topology. | | Note de contenu : | index,références |
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Affiner la recherche Interroger des sources externesAlgebraic topology (1942)
Continuous convergence on C(x) (1975)
