التفاصيل البيبلوغرافية
| العنوان: |
Grupos de Fréchet numerables |
| المؤلفون: |
Ulises Ariet Ramos García |
| المساهمون: |
Michael Hrusak |
| بيانات النشر: |
Universidad Michoacana de San Nicolás de Hidalgo. Universidad Nacional Autónoma de México |
| سنة النشر: |
2008 |
| المجموعة: |
Repositorio Institucional de la Universidad Michoacana de San Nicolás de Hidalgo (DSpace) |
| مصطلحات موضوعية: |
info:eu-repo/classification/cti/1, IFM-M-2008-0005, Axioma, PFA, OCA, Grupos boléanos |
| الوصف: |
Instituto de Física y Matemáticas. Facultad de Ciencias Físico Matemáticas. Unidad Morelia del Instituto de Matemáticas de la UNAM. Programa Conjunto de Maestría en Matemáticas ; This paper is divided into four chapters. Chapter 1 gives definitions, conventions and notations as well as some results that will be used throughout the work. In Chapter 2 we will study and develop the combinatorial language that lies behind Frechet's property in topological spaces. With this language, which we will use throughout our work, we will address Malykhin's question. Also in this chapter Frechet's concept is analyzed through the α i-properties of A. V. Arhangel'ski ı. For example, that these properties are distinguished from each other in Frechet's class of spaces countable, although two of them can only be consistently distinguished. Finally, the chapter concludes with some relationships between certain a i -properties and some infinite topological games. With the elements developed in Chapter 2, Chapter 3 examines the numerable topological groups under the ownership of Frechet and the a i -properties. Going through a certain class of boolean countable topological groups, two consistent examples are given to Malykhin's question of type boolean. Namely, that under the following conditions there are examples for this question. P>ω 1 (Nyikos [1992]) p=b. Finally, in Chapter 4 we analyze Malykhin's problem as a problem of cracks in P (ω). Thus, since OCA has a great influence on the structures of cracks in P (ω), then in the chapter we develop all this influence, and then have elements to propose certain axioms of "forcing," under which we hope that Malykhin's question have an answer in the negative sense, and with this get that question is independent of ZFC. ; El presente trabajo está dividido en cuatro capítulos. En el Capítulo 1 se dan las definiciones, convenciones y notaciones as ́ı como algunos resultados que se usarán a lo largo de todo el trabajo. En el Capítulo 2 nos dedicaremos a estudiar y desarrollar el lenguaje ... |
| نوع الوثيقة: |
master thesis |
| وصف الملف: |
application/pdf |
| اللغة: |
Spanish; Castilian |
| العلاقة: |
http://bibliotecavirtual.dgb.umich.mx:8083/xmlui/handle/DGB_UMICH/1114Test |
| الإتاحة: |
http://bibliotecavirtual.dgb.umich.mx:8083/xmlui/handle/DGB_UMICH/1114Test |
| حقوق: |
info:eu-repo/semantics/openAccess ; http://creativecommons.org/licenses/by-nc-nd/4.0Test |
| رقم الانضمام: |
edsbas.9F3CC75F |
| قاعدة البيانات: |
BASE |
