A locally connected continuum without convergent sequences
نویسندگان
چکیده
منابع مشابه
A locally connected continuum without convergent sequences
We answer a question of Juhász by constructing under CH an example of a locally connected continuum without nontrivial convergent sequences. 2002 Elsevier Science B.V. All rights reserved.
متن کاملStrongly almost ideal convergent sequences in a locally convex space defined by Musielak-Orlicz function
In this article, we introduce a new class of ideal convergent sequence spaces using an infinite matrix, Musielak-Orlicz function and a new generalized difference matrix in locally convex spaces. We investigate some linear topological structures and algebraic properties of these spaces. We also give some relations related to these sequence spaces.
متن کاملGroups without convergent sequences
We investigate the question: which compact abelian groups have a dense (pseudocompact) subgroup without convergent sequences?
متن کاملA Convex Metric for a Locally Connected Continuum
A subset M of a topological space 5 is said to have a convex metric (even though S may have no metric) if the subspace M of 5 has a convex metric. It is known [5 J that a compact continuum is locally connected if it has a convex metric. The question has been raised [5] as to whether or not a compact locally connected continuum M can be assigned a convex metric. Menger showed [5] that M is conve...
متن کاملEvery Monotone Open 2-homogeneous Metric Continuum Is Locally Connected
In [16, Theorem 3.12, p. 397], Ungar answered a question of Burgess [2] by showing that every 2-homogeneous metric continuum is locally connected. A short, elementary and elegant proof of this result has been given by Whittington [17] who has omitted a powerful result of Effros (viz. Theorem 2.1 of [4, p. 39]) used by Ungar. It is observed in this note that Whittington's proof can be applied to...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2002
ISSN: 0166-8641
DOI: 10.1016/s0166-8641(02)00088-3