Results 21 to 30 of about 1,018,893 (229)
On hereditary properties of extremally disconnected frames and normal frames
, 2020 Hereditary extremal disconnectedness of frames and its equivalent form of complete extremal disconnectedness are the topic of this paper. We study them in parallel with the corresponding normality properties of frames. Among several characterizations, we
Javier Gutiérrez García +2 more
semanticscholar +1 more source
A Note On Neutrosophic Chaotic Continuous Functions [PDF]
Neutrosophic Sets and Systems, 2019 Many real time problems are based on uncertainity and chaotic environment. To demonstrate this ambiguous suituation more precisely we intend to amalgamate the ideas of chaos theory and neutrosophy.
T. Madhumathi +2 more
doaj +1 more source
Expressive Power in First Order Topology [PDF]
, 1984 A first order representation (fo.r.) in topology is an assignment of finitary relational structures of the same type to topological spaces in such a way that homeomorphic spaces get sent to isomorphic structures.
Bankston +4 more
core +2 more sources
F-points in countably compact spaces
Applied General Topology, 2001 Answering a question of A.V. Arhangel'skii, we show that any extremally disconnected subspace of a compact space with countable tightness is discrete.
Angelo Bella, V.I. Malykhin
doaj +1 more source
Discrete Subsets in Topological Groups and Countable Extremally Disconnected Groups [PDF]
, 2016 It is proved that any countable topological group in which the filter of neighborhoods of the identity element is not rapid contains a discrete set with precisely one nonisolated point. This gives a negative answer to Protasov's question on the existence
E. Reznichenko, O. Sipacheva
semanticscholar +1 more source
Generalized closed sets: a unified approach
Applied General Topology, 2001 We investigate various classes of generalized closed sets of a topological space in a unified way by studying the notion of qr-closed sets. New characterizations of some existing classes of generalized closed sets and topological spaces are given.
Jiling Cao +2 more
doaj +1 more source
Extremally Disconnected Sets in Groups [PDF]
Proceedings of the American Mathematical Society, 1975 It is shown that every extremally disconnected compact set in a LCA group is an S H SH -set.
openaire +2 more sources
Nonexistence of countable extremally disconnected groups with many open subgroups [PDF]
, 2014 It is proved that the existence of a countable extremally disconnected Boolean topological group containing a family of open subgroups whose intersection has empty interior implies the existence of a rapid ultrafilter.
O. Sipacheva
semanticscholar +1 more source
Compact and extremally disconnected spaces via generalized continuous functions
Journal of Advanced Studies in Topology, 2019 In [12], the class of compact and extremally dinconnected spaces were studied using several investigative tools such as filters, graphs, functions, multifuctions and subsets of the space.
Z. Bandpey, B. Nayar
semanticscholar +1 more source
ON /-EXTREMALLY DISCONNECTED SPACES
Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 1999 Abstract. We have introduced and investigated the notion of I-extremal disconnectedness on ideal topological spaces. First, we found that the notions of extremal disconnectedness and I-extremal disconnectedness are independent of each other. About the letter one, we observed that every open subset of an I-extremally disconnected space is also an I ...
KESKİN, Aynur +2 more
openaire +3 more sources