Homotopy extension property in homotopy theory for topological semigroups. by Kilicman, Adem, Saif, Amin

“…The purpose of this paper is to extend the concept of homotopy extension property in homotopy theory for topological spaces to its analogical structure in homotopy theory for topological semigroups. …”
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Homotopy Analysis And Legendre Multi-Wavelets Methods For Solving Integral Equations by Vahdati, Saeed

Subjects: “…Homotopy theory…”
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Spectral homotopy analysis method and composite Chebyshev finite difference method for solving integro-differential equations by Atabakan, Zohreh Pashazadeh

Subjects: “…Homotopy theory…”
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On CN-fibrations in bitopological semigroups by Dawood, Suliman, Kilicman, Adem

“…We extend the path lifting property in homotopy theory for topological spaces to bitopological semigroups and we show and prove its role in the CN-fibration property. …”
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On retracting properties and covering homotopy theorem for S-maps into Sχ-cofibrations and Sχ-fibrations by Saif, Amin, Kilicman, Adem

“…In this paper we generalize the retracting property in homotopy theory for topological semigroups by introducing the notions of deformation S-retraction with its weaker forms and EShomotopy extension property. …”
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Number of Compatible Pair for Nontrivial Actions of Finite Cyclic 2-Groups by Sahimel Azwal, Sulaiman, Mohd Sham, Mohamad, Yuhani, Yusof, Mohammed Khalid, Shahoodh

“…The nonabelian tensor product of groups has its origins in the algebraic K-theory and homotopy theory. The nonabelian tensor product for a pair of groups is defined when the action act compatibly on each other. …”
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The Number of Compatible Pair of Actions for Cyclic Groups of 2-Power Order by Sahimel Azwal, Sulaiman, Yuhani, Yusof, Shahoodh, Mohammed Khalid

“…The non-abelian tensor product of groups has its origins in the algebraic K-theory and homotopy theory. The nonabelian tensor product for a pair of groups is defined when the actions act compatibly on each other. …”
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Compatible actions for finite cyclic groups of p-power order by Shahoodh, Mohammed Khalid

“…The concept of the nonabelian tensor product of groups has its origins in the algebraic K-theory and the homotopy theory. This concept is defined on the actions which are compatible to each other. …”
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Compatible actions for finite cyclic groups of p-power order by Mohamad, Mohd Sham, Mohd Aziz, Mohd Khairul Bazli, Adam, Samsudin, Adli Aminuddin, Adam Shariff, Yusof, Yuhani, Nor Haniza, Sarmin

“…The concept of the nonabelian tensor product of groups has its origins in the algebraic K-theory and the homotopy theory. This concept is defined on the actions which are compatible to each other. …”
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Compatible actions for finite cyclic groups of p-power order by Mohamad, Mohd Sham, Mohd Aziz, Mohd Khairul Bazli, Adam, Samsudin, Adli Aminuddin, Adam Shariff, Yusof, Yuhani, Nor Haniza, Sarmin

“…The concept of the nonabelian tensor product of groups has its origins in the algebraic Ktheory and the homotopy theory. This concept is defined on the actions which are compatible to each other. …”
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Compatibility conditions and nonabelian tensor products of finite cyclic groups of ρ-power order by Mohd Sham, Mohamad

“…The nonab elian tensor pro ducts of groups originated from a generalized Van Kamp en Theorem and its construction has its origins in algebraic K-theory and in homotopy theory.In this research,cyclic groups of p-p ower order where p is a prime numb er are considered.The aim of this research is to prove that the nonabelian tensor pro ducts of some finite cyclic groups of p-p ower order are cyclic.This research starts with the characterization of automorphisms of cyclic groupsof p-p ower order using numb er theoretical results where the order of the actions are considered.Then,the necessary and sufcient conditions for the actions to b ecompatible are determined for a pair of finite cyclic groups.Finally,by using a general expansion formula,the nonab elian tensor pro ducts of some cyclic groups of p-p ower order are proven to b e cyclic.The results of this research show that the nonabelian tensor pro duct of cyclic groups of p-p ower order where p is an odd prime with two-sided actions are cyclic.Furthermore,the nonab elian tensor product of cyclic groups of 2-power order with two-sided actions and b oth actions have order greater than two have been proven to b e also cyclic…”
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