Products of Arcwise Connected Spaces
نویسندگان
چکیده
منابع مشابه
Arcwise Connectedness of the Boundaries of Connected Self-similar Sets
Let T be the attractor of injective contractions f1, . . . , fm on R 2 that satisfy the Open Set Condition. If T is connected, ∂T is arcwise connected. In particular, the boundary of the Lévy dragon is arcwise connected.
متن کاملColouring Arcwise Connected Sets in the Plane II
Let G be the family of nite collections S where S is a collection of closed, bounded, arcwise connected sets in R 2 which for any S; T 2 S where S \ T 6 = ;, it holds that S \ T is arcwise connected. Given S 2 G which is triangle-free, we show that provided S is suu-ciently large there exists a subcollection S 0 S of at most 5 sets with the property that the sets of S surrounded by S 0 induce a...
متن کاملColouring Arcwise Connected Sets in the Plane I
Let G be the family of ®nite collections S where S is a collection of bounded, arcwise connected sets in R which for any S;T A S where S VT 0h, it holds that S VT is arcwise connected. We investigate the problem of bounding the chromatic number of the intersection graph G of a collection S A G. Assuming G is triangle-free, suppose there exists a closed Jordan curve C HR such that C intersects a...
متن کاملConnected and Hyperconnected Generalized Topological Spaces
A. Csaszar introduced and extensively studied the notion of generalized open sets. Following Csazar, we introduce a new notion hyperconnected. We study some specic properties about connected and hyperconnected in generalized topological spaces. Finally, we characterize the connected component in generalized topological spaces.
متن کاملSome Properties of $(1,2)^*$-Soft\ b-Connected Spaces
In this paper we introduce the concept of $(1,2)^*$-sb-separated sets and $(1,2)^*$-soft b-connected spaces and prove some properties related to these break topics. Also we disscused the properties of $(1,2)^*$-soft b- compactness in soft bitopological space
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: Proceedings of the American Mathematical Society
سال: 1974
ISSN: 0002-9939
DOI: 10.2307/2039260