JOURNAL BROWSE
Search
Advanced SearchSearch Tips
CERTAIN SUBGROUPS OF SELF-HOMOTOPY EQUIVALENCES OF THE WEDGE OF TWO MOORE SPACES
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
CERTAIN SUBGROUPS OF SELF-HOMOTOPY EQUIVALENCES OF THE WEDGE OF TWO MOORE SPACES
Jeong, Myung-Hwa;
  PDF(new window)
 Abstract
For a based, 1-connected, finite CW-complex X, we denote by the group of homotopy classes of self-homotopy equivalences of X and by the subgroup of homotopy classes which induce the identity on the homotopy groups of X in dimensions dim X+r. In this paper, we calculate the subgroups when X is a wedge of two Moore spaces determined by cyclic groups and in consecutive dimensions.
 Keywords
self-homotopy equivalences;Moore spaces;
 Language
English
 Cited by
1.
Certain self-homotopy equivalences on wedge products of Moore spaces, Pacific Journal of Mathematics, 2014, 272, 1, 35  crossref(new windwow)
 References
1.
S. Araki and Toda, Multiplicative structure in mod q cohomology theories I, Osaka J. Math. 2 (1965), 71–115.

2.
M. Arkowitz, The group of self-homotopy equivalences - a survey, in: R. Piccinini, ed., Lecture Notes in Math. 1425 (Springer, New York, 1990), 170–203. crossref(new window)

3.
M. Arkowitz and G. Lupton, On finiteness of subgroups of self-homotopy equivalences, in: Contemporary Mathematics, Vol. 181 (American Mathematical Society, 1995), 1–25.

4.
M. Arkowitz and K. Maruyama, Self-homotopy equivalences which induce the identity on homology, cohomology or homotopy groups, Topology Appl. 87 (1998), 133–154. crossref(new window)

5.
E. Spanier, Algebraic Topology, McGraw-Hill, New York, 1996.