PRIMARY DECOMPOSITION OF A 0-CONNECTED NILPOTENT SPACE

AKRUR BEHERA; Sandhya Rani Mohapatra

doi:10.24297/jam.v11i7.1221

PRIMARY DECOMPOSITION OF A 0-CONNECTED NILPOTENT SPACE

Authors

AKRUR BEHERA National Institute of Technology Rourkela ROURKELA - 769 008
Sandhya Rani Mohapatra National Institute of Technology Rourkela ROURKELA - 769 008

DOI:

https://doi.org/10.24297/jam.v11i7.1221

Keywords:

Category of fractions, Calculus of right fractions, Adams cocompletion, Primary homotopy theory, Nilpotent Space, Cartan-Whitehead decomposition.

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.

Downloads

Download data is not yet available.

Author Biographies

AKRUR BEHERA, National Institute of Technology Rourkela ROURKELA - 769 008

Department of Mathematics

Sandhya Rani Mohapatra, National Institute of Technology Rourkela ROURKELA - 769 008

Department of Mathematics

Downloads

Published

2015-11-15

How to Cite

BEHERA, A., & Mohapatra, S. R. (2015). PRIMARY DECOMPOSITION OF A 0-CONNECTED NILPOTENT SPACE. JOURNAL OF ADVANCES IN MATHEMATICS, 11(7), 5420–5425. https://doi.org/10.24297/jam.v11i7.1221