In:
IJRDO -JOURNAL OF MATHEMATICS, Green Publication, Vol. 9, No. 1 ( 2023-01-10), p. 19-23
Abstract:
Let $C(X)$ denote the set of all covering spaces $(\tilde{X},\tilde{x},p)$ of $(X,x)$ where $(X,x)$ are path connected,locally path connected and semilocally simply connected pointed topological spaces.\\In this paper we show that:\\(i)$(C(X),\geq)$ is a lattice and $(C^r(X),\geq)$ is a subllatice of $(C(X),\geq)$ without assuming $\pi(X,x)$ is abelian,where $C^r(X)$ is the set of all regular covering spaces of $(X,x)$.\\(ii)$(C(X),\geq)$ is a modular,bounded and complete lattice when $\pi(X,x)$ is abelian.
Type of Medium:
Online Resource
ISSN:
2455-9210
DOI:
10.53555/m.v9i1.5338
Language:
Unknown
Publisher:
Green Publication
Publication Date:
2023
detail.hit.zdb_id:
3138267-8
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