stdClass Object
(
    [id] => 7551
    [paper_index] => 202209-02-011212
    [title] => HOMOTOPY GROUP OF SPHERES, HOPF FIBRATIONS AND VILLARCEAU CIRCLES
    [description] => 
    [author] => Deep Bhattacharjee, Sanjeevan Singha Roy, Riddhima Sadhu
    [googlescholar] => https://scholar.google.co.in/scholar?cluster=6094602511405326594&hl=en&as_sdt=0,5
    [doi] => https://doi.org/10.36713/epra11212
    [year] => 2022
    [month] => September
    [volume] => 7
    [issue] => 9
    [file] => 228pm_9.EPRA JOURNALS  11212.pdf
    [abstract] => Unlike geometry, spheres in topology have been seen as topological invariants, where their structures are defined as topological spaces. Forgetting, the exact notion of geometry, and the impossibility of embedding one into other, the homotopy relates how one sphere of i dimensions can wrap another sphere of n dimensions. 
    [keywords] => 
    [doj] => 2022-09-15
    [hit] => 2879
    [status] => y
    [award_status] => P
    [orderr] => 9
    [journal_id] => 2
    [googlesearch_link] => https://www.google.com/search?q=HOMOTOPY+GROUP+OF+SPHERES%2C+HOPF+FIBRATIONS+AND+VILLARCEAU+CIRCLES+Deep+Bhattacharjee%2C+Sanjeevan+Singha+Roy%2C+Riddhima+Sadhu&rlz=1C1CHBD_enIN959IN959&sourceid=chrome&ie=UTF-8
    [edit_on] => 
    [is_status] => 1
    [journalname] => EPRA International Journal of Research & Development (IJRD)
    [short_code] => IJSR
    [eissn] =>  2455-7838 (Online)
    [pissn] => - -
    [home_page_wrapper] => images/products_image/2-n.png
)
Error fetching PDF file.