Space of Stone-Čech Compactification βN
نویسندگان
چکیده
In this paper, the definition of Stone-Čech defined on discrete topological space natural numbers is used, which set all ultra-filters and largest compact created from space. The algebraic properties will be used to understand study some it. We have expanded semi-group process ( , naturally compactification . use illustrate structure, emphasizing smallest ideal where show that containing a minimal left has also an ideal.
منابع مشابه
Algebra in the Stone - Čech Compactification and its Applications to Ramsey Theory
Let me begin by expressing my sincere gratitude to the Japanese Association of Mathematical Sciences for inviting me to present this lecture and for giving me the JAMS International Prize for 2003 . I am deeply honored. This lecture is not a survey, but simply a discussion of some topics that I find interesting. For the most recent surveys of this subject area in which I have participated see [...
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Eric van Douwen [vD93] produced a maximal crowded extremally disconnected regular space and showed that its Stone-Čech compactification is an at most two-to-one image of βN. We prove that there are non-homeomorphic such images. We also develop some related properties of spaces which are absolute retracts of βN expanding on earlier of work in [BBS94, Sim87].
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متن کاملStrong shape of the Stone-Čech compactification
J. Keesling has shown that for connected spaces X the natural inclusion e : X → βX of X in its Stone-Čech compactification is a shape equivalence if and only if X is pseudocompact. This paper establishes the analogous result for strong shape. Moreover, pseudocompact spaces are characterized as spaces which admit compact resolutions, which improves a result of I. Lončar.
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ژورنال
عنوان ژورنال: ???? ????? ?????? ??????
سال: 2022
ISSN: ['2518-9255', '2222-8373']
DOI: https://doi.org/10.24237/djps.1804.601b