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

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