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On z-θ-Open Sets and Strongly θ-z-Continuous Functions
| Content Provider | Semantic Scholar |
|---|---|
| Author | Özkoç, Murad |
| Copyright Year | 2013 |
| Abstract | A new class of generalized open sets, called z-open sets which are weaker than both θ-semiopen sets and θ-preopen sets defined by Altunöz and Aslım [2], is introduced and some properties are obtained by Özkoç [14]. In this paper in order to investigate some different properties we introduce two strong form of z-open sets called z-regular sets and z-θ-open sets. By means of z-θ-open sets we also introduce a new class of functions called strongly θ-z-continuous functions which is a generalization of strongly θ-precontinuous functions. We obtain some characterizations and several properties of such functions. Moreover, we define strongly z-closed graphs, z-regular spaces and z-T2 spaces and investigate the relationship between their properties and strongly θ-z-continuous functions. Mathematics Subject Classification: Primary 54C08, 54C10 |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.m-hikari.com/ijcms/ijcms-2013/5-8-2013/ozkocIJCMS5-8-2013.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
