New Conceptions of Transitivity and Minimal Mappings
Mohammed Nokhas Murad Kaki
Issue:
Volume 2, Issue 1, February 2014
Pages:
1-6
Received:
13 December 2013
Published:
30 January 2014
Abstract: The concepts of topological δ- transitive maps, α-type transitive maps, δ-minimal and α-minimal mappings were introduced by M. Nokhas Murad Kaki. In this paper, the relationship between two different notions of transitive maps, namely topological δ-type transitive mapsandtopological α-type transitive maps has been studied and some of their properties in two topological spaces (X, τδ)and (X, τα), τδ denotes the δ–topology (resp. τα denotes the α–topology) of a given topological space (X, τ) has been investigated.. Also, we have proved that there exists a dense orbit in X, where X is locally compact Hausdorff space and τ has a countable basis. The main results are the following propositions:Every topologically α-type transitive map is a topologically transitive map which implies topologically δ- transitive map, but the converse not necessarily true., and every α-minimal map is a minimal map which implies δ- minimal map in topological spaces, but the converse not necessarily true. Finally, we have proved that a map which is γr- conjugated to γ-transitive (resp. γ-minimal, γ-mixing) map is γ-transitive (resp. γ-minimal, γ-mixing).
Abstract: The concepts of topological δ- transitive maps, α-type transitive maps, δ-minimal and α-minimal mappings were introduced by M. Nokhas Murad Kaki. In this paper, the relationship between two different notions of transitive maps, namely topological δ-type transitive mapsandtopological α-type transitive maps has been studied and some of their properti...
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Current Concepts in Biomaterials in Dental Implant
Suraksha Shrestha,
Sarita Joshi
Issue:
Volume 2, Issue 1, February 2014
Pages:
7-12
Received:
23 February 2014
Accepted:
10 April 2014
Published:
20 April 2014
Abstract: Myriads of materials have been used for replacement of missing teeth through implantation. The success of these materials depend on the ability to integrate with the host environment showing biological compatibility, mechanical compatibility, and morphological compatibility to the surrounding vital tissues. Certain materials have shown this promising property and have been used in dental implantology. With recent advances in technology, these materials are better able to improve fixation to bone through various surface modifications and bioengineering
Abstract: Myriads of materials have been used for replacement of missing teeth through implantation. The success of these materials depend on the ability to integrate with the host environment showing biological compatibility, mechanical compatibility, and morphological compatibility to the surrounding vital tissues. Certain materials have shown this promisi...
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