Some Cardinal and Geometric Properties of the Space of Permutation Degree
Ljubiša D. R. KočinacFaculty of Sciences and Mathematics, University of Niš, 18000 Niš, SerbiaF. G. MukhamadievDepartment of Mathematics, National University of Uzbekistan named after Mirzo Ulugbek, Str. University 4, Tashkent 100174, UzbekistanAnvar K. SadullaevYeoju Technical Institute in Tashkent, Str. Usman Nasyr 156, Tashkent 100121, Uzbekistan
ABI
Аннотация
This paper is devoted to the investigation of cardinal invariants such as the hereditary density, hereditary weak density, and hereditary Lindelöf number. The relation between the spread and the extent of the space SP2(R,τ(A)) of permutation degree of the Hattori space is discussed. In particular, it is shown that the space SP2(R,τS) contains a closed discrete subset of cardinality c. Moreover, it is shown that the functor SPGn preserves the homotopy and the retraction of topological spaces. In addition, we prove that if the spaces X and Y are homotopically equivalent, then the spaces SPGnX and SPGnY are also homotopically equivalent. As a result, it has been proved that the functor SPGn is a covariant homotopy functor.
Мавзулар
Идентификаторлар
Иқтибослар ва манбалар
Кўрсаткичлар — AkademScholar · Тез орада