Open AccessPC-Spaces
Author(s) -
S. G. Gasim,
N. F. Mohammed
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 - 10.1088/1742-6596/1879/3/032032
Subject(s) - paracompact space , space (punctuation) , pure mathematics , function space , property (philosophy) , mathematics , order (exchange) , function (biology) , computer science , epistemology , philosophy , business , hausdorff space , finance , evolutionary biology , biology , operating system
The present study concentrates on the new generalizations of the Jordan curve theorem. In order to achieve our goal, new spaces namely PC-space and strong PC-space are defined and studied their properties. One of the main concepts that use to define the related classes of spaces is paracompact space. In addition, the property of being PC-space and strong PC-space is preserved by defining a new type of function so called para-perfect function.