Skripsi

INTERIOR DAN CLOSURE PADA RUANG TOPOLOGI CENTRAL

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Penilaian

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The generalization of the definition of topological space is not a new discovery. For example, supra topological space which reduces the axiom that the intersection of topological members is also a topological member and infra topological space which reduces the axiom that the union of topological members is also a topological member. In this research, a new topology is formed by reducing the axioms of one topology about ∅ and X which are members of the topology and called the central topology. ∅ and X that are no longer members of the topology cause some changes in the properties of the sets in it, especially in the interior and closure of a set. The purpose of this research is to define the central topology and study the properties that change because ∅ and X are no longer members of the topology. The result obtained from this research is the existence of sets that have neither interior nor closure. The set that still has interior is called ic-exist set while the set that has ∅ as interior loses its interior and is called non ic-exist set. The set that still has a closure is called a cc-exist set while the set that has X as a closure loses its closure and is called a non-cc-exist set. The ic-exist and cc-exist sets retain their properties even when operated on by the intersection or union of two neighboring sets while the non ic-exist set may form an ic-exist set if a union between two non ic-exist sets is performed and the non cc-exist set may form a cc-exist set if a union between two non cc-exist sets is performed.

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Availability

Inventory Code	Barcode	Call Number	Location	Status
2507003995	T178341	T1783412025	Central Library (Reference)	Available but not for loan - Not for Loan

Detail Information

Series Title

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Call Number

T1783412025

Publisher

Indralaya : Prodi Ilmu Matematika, Fakultas Matematika Dan Ilmu Pengetahuan Alam Universitas Sriwijaya., 2025

Collation

xvi, 98 hlm.; ilus.; tab.; 29 cm.

Language

Indonesia

ISBN/ISSN

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Classification

510.07

Content Type

Text

Media Type

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Carrier Type

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Edition

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Subject(s)

Matematika

Specific Detail Info

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Statement of Responsibility

MI

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