Homotopy extension property for multi-valued functions
In this study, we introduce some well-known definitions and properties for multi-valued functions. We present new definitions such as, m-retraction, m-section, m-homeomorphism, m-HEP and reducible function. We give a new result on the relation between multi-homotopy groups and m-homeomorphism. We al...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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University of Kragujevac, Faculty of Technical Sciences Čačak, Serbia
2023-01-01
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| Series: | Mathematica Moravica |
| Subjects: | |
| Online Access: | https://scindeks-clanci.ceon.rs/data/pdf/1450-5932/2023/1450-59322301001K.pdf |
| _version_ | 1797787812589731840 |
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| author | Karaca Ismet Özkan Mustafa |
| author_facet | Karaca Ismet Özkan Mustafa |
| author_sort | Karaca Ismet |
| collection | DOAJ |
| description | In this study, we introduce some well-known definitions and properties for multi-valued functions. We present new definitions such as, m-retraction, m-section, m-homeomorphism, m-HEP and reducible function. We give a new result on the relation between multi-homotopy groups and m-homeomorphism. We also deal with some properties of m-HEP. |
| first_indexed | 2024-03-13T01:28:04Z |
| format | Article |
| id | doaj.art-5e4911fedc9b4d63904a9626be1baa5c |
| institution | Directory Open Access Journal |
| issn | 1450-5932 2560-5542 |
| language | English |
| last_indexed | 2024-03-13T01:28:04Z |
| publishDate | 2023-01-01 |
| publisher | University of Kragujevac, Faculty of Technical Sciences Čačak, Serbia |
| record_format | Article |
| series | Mathematica Moravica |
| spelling | doaj.art-5e4911fedc9b4d63904a9626be1baa5c2023-07-04T10:46:42ZengUniversity of Kragujevac, Faculty of Technical Sciences Čačak, SerbiaMathematica Moravica1450-59322560-55422023-01-012711121450-59322301001KHomotopy extension property for multi-valued functionsKaraca Ismet0Özkan Mustafa1Ege University, Department of Mathematics, Izmir, TurkeyEge University, Department of Mathematics, Izmir, TurkeyicsIn this study, we introduce some well-known definitions and properties for multi-valued functions. We present new definitions such as, m-retraction, m-section, m-homeomorphism, m-HEP and reducible function. We give a new result on the relation between multi-homotopy groups and m-homeomorphism. We also deal with some properties of m-HEP.https://scindeks-clanci.ceon.rs/data/pdf/1450-5932/2023/1450-59322301001K.pdfmulti-valued functionm-retractionm-homeomorphismhomotopy extension property |
| spellingShingle | Karaca Ismet Özkan Mustafa Homotopy extension property for multi-valued functions Mathematica Moravica multi-valued function m-retraction m-homeomorphism homotopy extension property |
| title | Homotopy extension property for multi-valued functions |
| title_full | Homotopy extension property for multi-valued functions |
| title_fullStr | Homotopy extension property for multi-valued functions |
| title_full_unstemmed | Homotopy extension property for multi-valued functions |
| title_short | Homotopy extension property for multi-valued functions |
| title_sort | homotopy extension property for multi valued functions |
| topic | multi-valued function m-retraction m-homeomorphism homotopy extension property |
| url | https://scindeks-clanci.ceon.rs/data/pdf/1450-5932/2023/1450-59322301001K.pdf |
| work_keys_str_mv | AT karacaismet homotopyextensionpropertyformultivaluedfunctions AT ozkanmustafa homotopyextensionpropertyformultivaluedfunctions |