Almost arcwise connectivity in unicoherent continua
نویسندگان
چکیده
منابع مشابه
Certain Homogeneous Unicoherent Indecomposable Continua
A simple closed curve is the simplest example of a compact, nondegenerate, homogeneous continuum. If a bounded, nondegenerate, homogeneous plane continuum has any local connectedness property, even of the weakest sort, it is known to be a simple closed curve [l, 2, 3].1 The recent discovery of a bounded, nondegenerate, homogenous plane continuum which does not separate the plane [4, 5] has give...
متن کاملSpecial Unions of Unicoherent Continua
It is proved that a Hausdorff continuum is unicoherent if it is the union of two unicoherent continua whose intersection is connected and locally connected.
متن کاملKernels of Hereditarily Unicoherent Continua and Absolute Retracts
For a hereditarily unicoherent continuum X, its kernel means the common part of all subcontinua of X that intersect all arc components of X. This concept naturally appears when absolute retracts for the class of hereditarily unicoherent continua are studied. Let Y be such an absolute retract. Among other results, we prove that (a) Y is indecomposable if and only if it is identical with its kern...
متن کاملFixed Point Property for Monotone Mappings of Hereditarily Stratified
A continuum means comp6lct, connected metric space. A hereditarily unicoherent and arcwise connected continuum is called a dendroid. It follows that it is hereditarily decomposable ([2], (47), p. 239). A hereditarily unicoherent and hereditarily decomposable continuum is said to be a A.-dendroid. Thus, every dendroid is a }.-dendroid and an arcwise connected A.-dendroid is a dendroid. Note that...
متن کاملar X iv : 1 10 6 . 33 18 v 2 [ m at h . L O ] 2 3 Ju n 20 11 EFFECTIVE VERSIONS OF LOCAL CONNECTIVITY PROPERTIES
We investigate, and prove equivalent, effective versions of local connectivity and uniformly local arcwise connectivity for connected and computably compact subspaces of Euclidean space. We also prove that Euclidean continua that are computably compact and effectively locally connected are computably arcwise connected.
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: 1985
ISSN: 0166-8641
DOI: 10.1016/0166-8641(85)90055-0