• Coupled systems mechanics
• /
• v.9 no.3
• /
• pp.219-235
• /
• 2020

Natural convection of nanofluid flow between two vertical flat plates has been analyzed in uncertain environment.Anon-Newtonian fluid SodiumAlginate (SA) as base fluid and nanoparticles ofCopper(Cu) are taken into consideration. In thepresentstudy,we have takennanoparticle volume fraction as an uncertain parameterin terms offuzzy number. Fuzzy uncertainties are controlled by r-cut and parametric concept. Homotopy PerturbationMethod (HPM) has been used to solve the governing fuzzy coupleddifferential equationsforthe titled problem.Forvalidation, presentresults are comparedwith existingresultsforsome special casesviz. crisp case andthey are foundto be ingood agreement.

• Communications of the Korean Mathematical Society
• /
• v.38 no.4
• /
• pp.1309-1320
• /
• 2023

Let f : X → Y be a map between simply connected CW-complexes of finite type with X finite. In this paper, we prove that the rational cohomology of mapping spaces map(X, Y ; f) contains a polynomial algebra over a generator of degree N, where N = max{i, π_i(Y)⊗ℚ ≠ 0} is an even number. Moreover, we are interested in determining the rational homotopy type of map(𝕊ⁿ, ℂP^m; f) and we deduce its rational cohomology as a consequence. The paper ends with a brief discussion about the realization problem of mapping spaces.

• Honam Mathematical Journal
• /
• v.16 no.1
• /
• pp.1-8
• /
• 1994

• Honam Mathematical Journal
• /
• v.19 no.1
• /
• pp.139-144
• /
• 1997

In this paper, we make some results on the direct limit of the locally nilpotent direct system. We study the ($T^{**}$) - properties of the above direct limit and homotopy equivalence of the direct limits.

• Journal of applied mathematics & informatics
• /
• v.2 no.1
• /
• pp.41-58
• /
• 1995

When F(χ)=0 is a system of nonlinear equations, we have established the parametrizied Homotopy algorithm for solving F(χ)=0 and some theorems for algorithm have been obtained.

• Bulletin of the Korean Mathematical Society
• /
• v.38 no.4
• /
• pp.719-725
• /
• 2001

For a p-compact group G, if G-space X is of finite S-type then we show that the localization $S^{-1}H^*(X_{hG})$is zero. By using this result, we prove the localization theorem for the pair G-space (X, A)

• Korean Journal of Mathematics
• /
• v.7 no.1
• /
• pp.131-138
• /
• 1999

We introduce an extended Jiang subgroup $J(f,x_0,G)$ of the fundamental group of a transformation group as a generalization of the Jiang subgroup $J(f,x_0)$ and show some properties of this extended Jiang subgroup.

• Journal of applied mathematics & informatics
• /
• v.18 no.1_2
• /
• pp.487-495
• /
• 2005

The main goal of this paper is to prove the digital homotopy lifting theorem with relation to a radius n local homeomorphism.

• The Pure and Applied Mathematics
• /
• v.8 no.1
• /
• pp.61-69
• /
• 2001

The purpose of this paper is to introduce the Nielsen root number for the complement N(f:X-A,c) which shares such properties with the Nielsen root number N(f;c) as lower bound and homotopy invariance.

• Honam Mathematical Journal
• /
• v.1 no.1
• /
• pp.77-81
• /
• 1979

Almost mathematicians wish to study on the classification of the objects within isomorphism and determination of effective and computable invariants to distinguish the isomorphism classes. In topology, the concepts of homotopy and homeomorphism are such examples. In this lecture I shall speak of with respect to (i) Thom's cobordism group (ii) Cobordism category (iii) finally, the semigroup in cobordism category is isomorphic to the Thom's cobordism group.