1983
DOI: 10.21099/tkbjm/1496159832
|View full text |Cite
|
Sign up to set email alerts
|

Aposyndesis and coherence of continua under refinable maps

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
1
1
1

Citation Types

1
3
0

Year Published

1985
1985
2023
2023

Publication Types

Select...
4
1

Relationship

0
5

Authors

Journals

citations
Cited by 5 publications
(4 citation statements)
references
References 2 publications
1
3
0
Order By: Relevance
“…It is known that a continuum X is aposydetic if and only if X is semilocally connected (see [10]). Hence, Theorem 2.3 implies the following result proven by Hosokawa [8] and vice versa. If (X, d) is a space, x ∈ X and ε > 0, then we denote the set…”
Section: Refinable Maps and Proximately Refinable Maps Defined On Col...supporting
confidence: 62%
See 2 more Smart Citations
“…It is known that a continuum X is aposydetic if and only if X is semilocally connected (see [10]). Hence, Theorem 2.3 implies the following result proven by Hosokawa [8] and vice versa. If (X, d) is a space, x ∈ X and ε > 0, then we denote the set…”
Section: Refinable Maps and Proximately Refinable Maps Defined On Col...supporting
confidence: 62%
“…In [8], Hosokawa proved that each refinable map defined on a continuum preserves aposyndesis. Also, in [14] Petrus proved that aposyndesis is a Whitney property and is not a Whitney reversible property.…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…The following theorem extends [14,Theorem 4.1.32] to uniformly atomically refinable maps and gives a partial positive answer to [14,Question 8.1.18]. The following theorem is an extension to closed sets of [7,Theorem 1 ]. Its proof is similar to the one given for Theorem 4.1; we include the details to see the "duality" of T and K. Theorem 4.5.…”
Section: Let Us Observe That For Any Subsetmentioning
confidence: 88%