International Conference for Mathematics
and Applications (ICMA15)
Academy of Scientific Research and Technology
27 – 29 DEC. 2015
Cairo, Egypt
 
 
المؤتمر الدولي في الرياضيات
(ICMA15)وتطبيقاتها 
أكاديمية البحث العلمي والتكنولوجيا
2015 ديسمبر 29 - 27
القاهرة  ـ  جمهورية مصر العربية
 
www.asrt.sci.eg  -  ncm-eg.org ICMA15.msa.edu.eg www.msa.edu.eg
 

Topology & Geometry and Applications
1
SUN: 27-12-2015 Hall[C] Oral - Sec03 ( 1 )  
03:15 : 03:45
 
TGA - 7 EG Dr. Ahmed Allam dr.osama_marzouk@yahoo.com
 
7
  A Comparative View between Crisp sets, Fuzzy sets, Rough sets and soft Sets  
  Ahmed A.ALLAM  
 
Department of Mathematics Faculty of Science Assiut University
 
  ABSTRACT  
  ABSTRAC: The aim of this lecture is to give a Comparative View between the Crisp set Theory, Fuzzy set Theory, Rough set Theory and Soft set Theory. Also we give a Comparative View between the topological spaces induced by these sets  
 
 
International Conference for Mathematics
and Applications (ICMA15)
Academy of Scientific Research and Technology
27 – 29 DEC. 2015
Cairo, Egypt
 
 
المؤتمر الدولي في الرياضيات
(ICMA15)وتطبيقاتها 
أكاديمية البحث العلمي والتكنولوجيا
2015 ديسمبر 29 - 27
القاهرة  ـ  جمهورية مصر العربية
 
www.asrt.sci.eg  -  ncm-eg.org ICMA15.msa.edu.eg www.msa.edu.eg
 

Topology & Geometry and Applications
2
SUN: 27-12-2015 Hall[C] Oral - Sec03 ( 2 )  
03:45 : 04:00
 
TGA - 1 EG Assoc.Prof. Atif Aggour atifaggour@yahoo.com
 
7
  Strong Semilattices of Topological Groups  
  A. M. Abd-Allah , A. I. Aggour , A. Fathy  
 
Mathematics Department, Faculty of Science, Al-Azhar University, Nasr City (11884), Cairo, Egypt
Mathematics Department, Faculty of Science, Al-Azhar University, Nasr City (11884), Cairo, Egypt
Mathematics Department, Faculty of Science, Al-Azhar University, Nasr City (11884), Cairo, Egypt
 
  ABSTRACT  
  The notion of partial group was introduced in \cite{2} and they have proved that a semigroup is a partial group if and only if it is a clifford semigroup \cite{6}. Also, they have proved that a semigroup is a partial group if and only if it is a strong semilattice of groups. Also, in \cite{5}, they introduced the fundamental theorems of isomorphism in partial group. In the present paper, we introduce the concept of a topological partial group and we discuss some of its basic properties. Also, we introduce the external direct product of a family of topological partial groups and we study the fundamental theorems of isomorphisms in this case. On the other hand, we study the neighbourhood system of the partial identities. We have some deficiencies which were modified in section 6.  
 
 
International Conference for Mathematics
and Applications (ICMA15)
Academy of Scientific Research and Technology
27 – 29 DEC. 2015
Cairo, Egypt
 
 
المؤتمر الدولي في الرياضيات
(ICMA15)وتطبيقاتها 
أكاديمية البحث العلمي والتكنولوجيا
2015 ديسمبر 29 - 27
القاهرة  ـ  جمهورية مصر العربية
 
www.asrt.sci.eg  -  ncm-eg.org ICMA15.msa.edu.eg www.msa.edu.eg
 

Topology & Geometry and Applications
3
SUN: 27-12-2015 Hall[C] Oral - Sec03 ( 3 )  
04:00 : 04:15
 
TGA - 2 EG Prof. Arafa Nasef nasefa50@yahoo.com
 
7
  On Some Classes of Nearly Open Sets in Nano Topological Space  
  A. A. Nasef , A. I. Aggour , S. M. Darwesh  
 
Department of Physics and Engineering Mathematics, Faculty of Engineering, Kafr El-Sheikh University, Kafr El-Sheikh , Egypt.
Mathematics Department , Faculty of Science, Al-Azhar University, Nasr City (11884), Cairo, Egypt.
Mathematics Department , Faculty of Science, Al-Azhar University, Nasr City (11884), Cairo, Egypt.
 
  ABSTRACT  
  In this paper, we study some near nano open sets in a nano topological space. Our aim is to establish results about the relationships between the various types of nano open (closed) subsets. Also, we provide characterizations of certain known classes of topological spaces in terms of some nano near open sets and their generalizations.  
 
 
International Conference for Mathematics
and Applications (ICMA15)
Academy of Scientific Research and Technology
27 – 29 DEC. 2015
Cairo, Egypt
 
 
المؤتمر الدولي في الرياضيات
(ICMA15)وتطبيقاتها 
أكاديمية البحث العلمي والتكنولوجيا
2015 ديسمبر 29 - 27
القاهرة  ـ  جمهورية مصر العربية
 
www.asrt.sci.eg  -  ncm-eg.org ICMA15.msa.edu.eg www.msa.edu.eg
 

Topology & Geometry and Applications
4
SUN: 27-12-2015 Hall[C] Oral - Sec03 ( 4 )  
04:15 : 04:30
 
TGA - 4 EG Dr. Mervat Elzawy mervatelzawy@science.tanta.edu.eg
 
7
  Smarandache curves in the Galilean 4-space G4  
  M.Elzawy , S. Mosa  
 
Mathematics Department, Faculty of Science, Tanta University, Tanta
Mathematics Department, Faculty of Science, Damanhour Unversity
 
  ABSTRACT  
  In this article, we study smarandache curves in the 4-dimensional Galilean space G4. Frenet -Serret invarants for the Smarandache curve in G4 are obtained. The first,second and third curvature of smarandache curve are calculed. These values depending upon the first , second and the third curvature of the Given curve. Examples will be illustrated  
 
 
International Conference for Mathematics
and Applications (ICMA15)
Academy of Scientific Research and Technology
27 – 29 DEC. 2015
Cairo, Egypt
 
 
المؤتمر الدولي في الرياضيات
(ICMA15)وتطبيقاتها 
أكاديمية البحث العلمي والتكنولوجيا
2015 ديسمبر 29 - 27
القاهرة  ـ  جمهورية مصر العربية
 
www.asrt.sci.eg  -  ncm-eg.org ICMA15.msa.edu.eg www.msa.edu.eg
 

Topology & Geometry and Applications
5
SUN: 27-12-2015 Hall[C] Oral - Sec03 ( 5 )  
04:30 : 04:45
 
TGA - 5 EG Mr. ayman ramadan ayman_ramadan88@yahoo.com
 
7
  Equiform Spacelike Normal Curves In Minkowski Space E₁³.  
  A. Elsharkawy , M. Elzawy , H. K. Elsayied  
 
Mathematics Department, Faculty of Science, Tanta University
Mathematics Department, Faculty of Science, Tanta University
Mathematics Department, Faculty of Science, Tanta University
 
  ABSTRACT  
  In this paper, we introduce equiform spacelike curves in minkowski space E₁³ and give some characterizations of equiform spacelike normal curves with equiform spacelike, equiform timelike or equiform null principal normal in E₁³. Some examples are illustrated.  
 
 
International Conference for Mathematics
and Applications (ICMA15)
Academy of Scientific Research and Technology
27 – 29 DEC. 2015
Cairo, Egypt
 
 
المؤتمر الدولي في الرياضيات
(ICMA15)وتطبيقاتها 
أكاديمية البحث العلمي والتكنولوجيا
2015 ديسمبر 29 - 27
القاهرة  ـ  جمهورية مصر العربية
 
www.asrt.sci.eg  -  ncm-eg.org ICMA15.msa.edu.eg www.msa.edu.eg
 

Topology & Geometry and Applications
6
SUN: 27-12-2015 Hall[C] Oral - Sec03 ( 6 )  
04:45 : 05:00
 
TGA - 6 EG Mr. Usama ElFakhrany elyosr2@yahoo.com
 
7
  New Čech closure spaces and its applications in digital topology  
  A.M.Kozae , A .A. Nasef , U.E. El-Fakhrany  
 
Department of Mathematics ,Faculty of Science ,Tanta University,Egypt.
Department of Physics Engineering Maths.,Faculty of Engineering, Kafr-Elsheikh University,Egypt.
Department of Mathematics ,Faculty of Science ,Tanta University,Egypt.
 
  ABSTRACT  
  We establish the connection between two fields of topology that until now seemed to be far away from each other namely digital topology and the theory of closure spaces. In this paper, we study Čech closure operations in terms of 4 and 8-adjacency. Some properties and counterexamples of these closure spaces are investigated and some allied concepts applied to digital topology.  
 
 
International Conference for Mathematics
and Applications (ICMA15)
Academy of Scientific Research and Technology
27 – 29 DEC. 2015
Cairo, Egypt
 
 
المؤتمر الدولي في الرياضيات
(ICMA15)وتطبيقاتها 
أكاديمية البحث العلمي والتكنولوجيا
2015 ديسمبر 29 - 27
القاهرة  ـ  جمهورية مصر العربية
 
www.asrt.sci.eg  -  ncm-eg.org ICMA15.msa.edu.eg www.msa.edu.eg
 

Topology & Geometry and Applications
7
TUE: 29-12-2015 Poster - Sec 02 ( 3 )  
11:30 : 12:15
 
TGA - 3 EG Ms. Heba-t- ALLAH Mohamed Serry hebamserry@gmail.com
 
7
  New Results on the Geometry of Similar Ruled Surfaces  
  Mostafa F. El-Sabbagh , Ahmad T. Ali , Heba-t-Allah Serry  
 
Mathematics Department, Faculty of Science, Minia University
Mathematics Department, Faculty of Science, Al-Azhar University
Mathematics Department, Faculty of science, Suez Canal University, Ismailia
 
  ABSTRACT  
  A new (different and comprehensive) definition of similar ruled surfaces with variable transformations in Euclidean 3-space is introduced. New properties for Gaussian and mean curvatures in the ruled surfaces are investigated. Some important relations between the curvatures of the family of similar ruled surfaces are obtained.