Some theorems on the sheaf of the fundamental groups

Authors : S BALCI

Pages : 0-0

Doi:10.1501/Commua1_0000000562

View : 37 | Download : 10

Publication Date : 1984-01-01

Article Type : Research Paper

Abstract :L et X be a locally arcwise coıuıected topological space. In paper [1 ], we constructed “ the sheaf of the fundam ental groups” on X and gave some characterizations. In paper [2], we first gave some characterizations which are th e converses of the characterizations in paper [1 ] and obtained some results related w ith the group of sections. In this paper, we first construct the sheaf H* = H ı © H2 by defining “ the Generalized W hitney Sum ” and show th a t the sheaf H* is isomorphic to the sheaf HJXH2 which is direct product of the sheaves and H2 on X j and Xs, respectively. Finally ,we prove th a t, if insert ignore into journalissuearticles values(X j, H ı); and insert ignore into journalissuearticles values(X2, H2); are any two pairs, th en H* is iso­ m orphic to the pairs insert ignore into journalissuearticles values(H, X ı xX2);.
Keywords : theorems, fundamental, sheaf

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