In:
Nagoya Mathematical Journal, Cambridge University Press (CUP), Vol. 40 ( 1970-12), p. 213-220
Abstract:
Let D and C denote the open unit disk and the unit circle in the complex plane, respectively; and let f be a function from D into the Riemann sphere Ω . An arc γ⊂D is said to be an arc at p∈C if γ∪{p} is a Jordan arc; and, for each t (0 〈 t 〈 1), the component of γ∩{z: t≤|z| 〈 1} which has p as a limit point is said to be a terminal subarc of γ . If γ is an arc at p , the arc-cluster set C(f, p,γ) is the set of all points a∈Ω for which there exists a sequence {z k }a⊂γ with z k →p and f(z k )→a .
Type of Medium:
Online Resource
ISSN:
0027-7630
,
2152-6842
DOI:
10.1017/S0027763000013969
Language:
English
Publisher:
Cambridge University Press (CUP)
Publication Date:
1970
detail.hit.zdb_id:
2186888-8
SSG:
17,1
