PRIMARY DECOMPOSITION OF A 0-CONNECTED NILPOTENT SPACE
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2015, Vol 11, Issue 7
Abstract
It is known that the dierent stages of the Cartan-Whitehead decomposition of a 0-connected space can be obtained as the Adams cocompletions of the space with respect to suitable sets of morphisms. In this note Cartan-Whitehead decomposition is obtained for a nilpotent space, in terms of Adams cocompletion, using the primary homotopy theory developed by Neisendonfer.
Authors and Affiliations
AKRUR BEHERA, Sandhya Rani Mohapatra
The operator G(a; b;Dq) for the polynomials Wn(x; y; a; b; q)
We give an identity which can be regarded as a basic result for this paper. We give special value to the parameters in this identity to get some welknown identities such as Euler identity and Cauchy identity....
Pettis integration via statistical convergence
In this paper we extend the usual concept of Pettis integration to a statistical form. In order to achieve this, A we prove some necessary statements such as Vitali theorem and A use the statistically compactness. We obt...
The Asymptotic Behavior of Solutions of Second order Difference Equations With Damping Term
The author presents some sufficient conditions for second order difference equation with damping term of the form  ...
Probabilistic Representation of a Normal Generalized Inverse Gaussian Integral: Application to Option Pricing
An analytical probabilistic integral representation for the European call option price in the Hurst-Platen-Rachev subordinated asset price model with generalized inverse Gaussian subordinator is obtained. For the limitin...
The Universal Coefticient Theorem in the Category of Fuzzy Soft Modules
This paper begins with the basic concepts of chain comlexes of fuzzy soft modules. Later, we introduce short exact sequence of fuzzy soft modules and prove that split short exact sequence of fuzzy soft chain complex. Nat...