| Title | CONTINUATION THEOREMS FOR ACYCLIC MAPS IN TOPOLOGICAL SPACES |
| Publication Type | Journal Article |
| Year of Publication | 2009 |
| Authors | O’REGAN, DONAL |
| Secondary Title | Communications in Applied Analysis |
| Volume | 13 |
| Issue | 1 |
| Start Page | 39 |
| Pagination | 46 |
| Date Published | 01/2009 |
| Type of Work | scientific: mathematics |
| ISSN | 1083–2564 |
| AMS | 47H10. |
| Abstract | This paper discusses acyclic maps between topological spaces and we present a definition of an essential map in this setting. In addition we show that if F is essential and |
| URL | http://www.acadsol.eu/en/articles/13/1/5.pdf |
| Short Title | CONTINUATION THEOREMS |
| Refereed Designation | Refereed |
| Full Text | REFERENCES[1] R.P. Agarwal and D.O’Regan, A note on the topological transversality theorem for acyclic maps, Appl. Math. Letters 18 (2005), 17–22.
[2] A. Granas, Sur la m ́ethode de continuit ́e de Poincare, C.R. Acad. Sci. Paris 282 (1976), 983–985. [3] Multivalued H-essential maps of acyclic type on Hausdorff topological spaces, Jour. Applied Math. Stoch. Anal. Volume 2006, Art. Id. 36461, 1–4. |
then G is essential.