Local connectedness in L-topological spaces

Authors:
Sheng-Gang Li
Affiliations:
Department of Mathematics, Shaanxi Normal University, 710062 Xi'an, People's Republic of China
Venue:
Fuzzy Sets and Systems - Topology
Year:
2003

Citing 6
Cited 2

Connectedness on fuzzy topological spaces

Fuzzy Sets and Systems
On fuzzy connectedness

Fuzzy Sets and Systems
Induced I(L)-fuzzy topological spaces

Fuzzy Sets and Systems
On the sum of L-fuzzy topological spaces

Fuzzy Sets and Systems
Weak topological categories

Fuzzy Sets and Systems
Connectedness in L-fuzzy topological spaces

Fuzzy Sets and Systems

Connectedness and local connectedness in Lowen spaces

Fuzzy Sets and Systems
Survey of local connectedness axioms and their properties in L-topological spaces

Fuzzy Sets and Systems

Quantified Score

Hi-index	0.00

Visualization

Abstract

This paper studies local strong F1 connectedness and local Q-connectedness of L-topological spaces. It is shown that every L-interval J(L) and its weak inducification J(L) are both local strong F1 connected and local Q-connected, and that the local Q-connectedness of an L-topological space is equivalent to that of its induced I(L)-topological space.