Open AccessThe uniqueness of binary operation on semilocally simply connected, connected and locally path connected topological groups
Author(s) -
V Risali,
Indah Emilia Wijayanti
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1821/1/012024
Subject(s) - algorithm , uniqueness , group (periodic table) , binary number , topology (electrical circuits) , path (computing) , mathematics , computer science , physics , combinatorics , mathematical analysis , arithmetic , quantum mechanics , programming language
Given a topological group X with unity e . Suppose that X satisfies semilocally simply connected, locally path connected and connected condition. For every connected covering space ( X ˜ , q) of X , there is a binary operation such that X ˜ becomes a topological group with unity r , q ( r ) = e and q becomes a group homomorphism. In this paper, we show that there is a unique binary operation on X ˜ such that it is a topological group with unity r and q is a group homomorphism.