The sheaf of the groups formed by H-Cogroups over topological spaces

A.a. ÖÇAL

doi:https://doi.org/10.1501/Commua1_0000000553

Makale detayları

The sheaf of the groups formed by H-Cogroups over topological spaces

Yazarlar:

A.a. ÖÇAL

Yayıncı:

Ankara University

Ana Başlıklar:

Matematik

Dergi:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 1988 Vol.37

Belge Tipi:

Makale

Yayın Tarihi:

12/1987

Belge Dili:

İngilizce

Document ID (Org No.):

2000910395

Sıklık:

Üç Aylık

eISSN:

2618-6470

pISSN:

1303-5991

DOI:

https://doi.org/10.1501/Commua1_0000000553

Özet:

 

In thio paper, we consider both homotopy and sheaf theory and construct an algebraic sheaf by means of the H-cogroups. Finally, we give some algebraic topological characterizations.
1. The Sheaf of the Groups formed by H-Cogroups över topological spaces.
‘
Lct’s recall the following definition, Definition 1.1. Let S be two topological spaces, and tz: S X be a locally topological map. Then the pair (S, k) or shortly S is c aile d a sheaf över X.
Let (5 be the category of topological spaces X satisfying the pro- perty that ali pointed topological spaces (X,x) with x e İL have the same homotopy type. This category inciudes for example ali topological vector spaces. Let us take xe(5 as a base set if Q is any H-cogroup, then the set of homotopy class of homotop maps preserving the base points from (Q,qo) to (X,Xi), iel, [Q; (X,Xi)] obtained for each xeX, (X,x) pointed topological spaces. i.e, P(X) = V [Q; (X,x)]. Thus P(X) is a set över.

Makale detayları

The sheaf of the groups formed by H-Cogroups over topological spaces

Yazarlar: A.a. ÖÇAL

Yayıncı: Ankara University

Ana Başlıklar: Matematik

Dergi: Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 1988 Vol.37

Belge Tipi: Makale

Yayın Tarihi: 12/1987

Belge Dili: İngilizce

Document ID (Org No.): 2000910395

Sıklık: Üç Aylık

eISSN: 2618-6470

pISSN: 1303-5991

DOI: https://doi.org/10.1501/Commua1_0000000553

Sayı

Yazarlar:

A.a. ÖÇAL

Yayıncı:

Ankara University

Ana Başlıklar:

Matematik

Dergi:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 1988 Vol.37

Belge Tipi:

Makale

Yayın Tarihi:

12/1987

Belge Dili:

İngilizce

Document ID (Org No.):

2000910395

Sıklık:

Üç Aylık

eISSN:

2618-6470

pISSN:

1303-5991

DOI:

https://doi.org/10.1501/Commua1_0000000553