THE PRODUCT OF SHAPE FIBRATIONS

Home Page
About
Submit A Journal
Submit A Conference
Submit Paper/Book
- Submit a Preprint
- Submit a Book
Contact

Mathematical Sciences and Applications E-Notes
Volume:1 Issue:2
THE PRODUCT OF SHAPE FIBRATIONS

THE PRODUCT OF SHAPE FIBRATIONS

Authors : Qamil Haxhibeqiri Qamil HAXHIBEQIRI

Pages : 103-111

View : 37 | Download : 9

Publication Date : 2013-12-01

Article Type : Research Paper

Abstract :The following fact is shown: Let p : E → B, p : E→ B bemaps of compact Hausdorff spaces. Then p × p : E × E → B × B is a shapefibration if and only if p and p are shape fibrations.Also the following fact onresolutions is shown:Let q = insert ignore into journalissuearticles values(qλ); : E → E = insert ignore into journalissuearticles values(Eλ, qλλ, Λ); and r = insert ignore into journalissuearticles values(rµ); : B → B = insert ignore into journalissuearticles values(Bµ, rµµ, M );are morphisms of pro-Cpt such that E and B are compact AN R-systems.Then q × r = insert ignore into journalissuearticles values(qλ× rµ); : E × B → E × B = insert ignore into journalissuearticles values(Eλ× Bµ, qλλ× rµµ, Λ × M );is a resolution of E × B if and only if q and r are resolutions of E and B,respectively. insert ignore into journalissuearticles values(Theorem 1);
Keywords : Shape fibrations, resolution, approximate homotopy lifting property

ORIGINAL ARTICLE URL

* There may have been changes in the journal, article,conference, book, preprint etc. informations. Therefore, it would be appropriate to follow the information on the official page of the source. The information here is shared for informational purposes. IAD is not responsible for incorrect or missing information.