On certain constactions in finitistic spaces
Since the product of two finitistic spaces need not be finitistic, and also because a continuous closed image of a finitistic space need not be finitistic, it is natural to enquire whether or not the class of finitistic spaces in closed under the formation of cones, reduced cones, suspensions, reduc...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
1983-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171283000423 |
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| _version_ | 1832559157293613056 |
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| author | Satya Deo Mohan Singh |
| author_facet | Satya Deo Mohan Singh |
| author_sort | Satya Deo |
| collection | DOAJ |
| description | Since the product of two finitistic spaces need not be finitistic, and also because a continuous closed image of a finitistic space need not be finitistic, it is natural to enquire whether or not the class of finitistic spaces in closed under the formation of cones, reduced cones, suspensions, reduced suspensions, adjunction spaces, mapping cylinders, mapping cones, joins and smash products. In this paper we prove that all of the above constructs, except joins and smash products, of finitistic spaces are finitistic. The joins and smash products of finitistic spaces, however, need not be finitistic. We find sufficient conditions under which these are also finitistic. |
| format | Article |
| id | doaj-art-95ececb5db5b4e22b4ed2b7f9ff8f7cb |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1983-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-95ececb5db5b4e22b4ed2b7f9ff8f7cb2025-02-03T01:30:46ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251983-01-016347748210.1155/S0161171283000423On certain constactions in finitistic spacesSatya Deo0Mohan Singh1Department of Mathematics, University of Jammu, Jammu 180001, IndiaDepartment of Mathematics, University of Jammu, Jammu 180001, IndiaSince the product of two finitistic spaces need not be finitistic, and also because a continuous closed image of a finitistic space need not be finitistic, it is natural to enquire whether or not the class of finitistic spaces in closed under the formation of cones, reduced cones, suspensions, reduced suspensions, adjunction spaces, mapping cylinders, mapping cones, joins and smash products. In this paper we prove that all of the above constructs, except joins and smash products, of finitistic spaces are finitistic. The joins and smash products of finitistic spaces, however, need not be finitistic. We find sufficient conditions under which these are also finitistic.http://dx.doi.org/10.1155/S0161171283000423finitistic spacesadjunction spacescovering dimension. |
| spellingShingle | Satya Deo Mohan Singh On certain constactions in finitistic spaces International Journal of Mathematics and Mathematical Sciences finitistic spaces adjunction spaces covering dimension. |
| title | On certain constactions in finitistic spaces |
| title_full | On certain constactions in finitistic spaces |
| title_fullStr | On certain constactions in finitistic spaces |
| title_full_unstemmed | On certain constactions in finitistic spaces |
| title_short | On certain constactions in finitistic spaces |
| title_sort | on certain constactions in finitistic spaces |
| topic | finitistic spaces adjunction spaces covering dimension. |
| url | http://dx.doi.org/10.1155/S0161171283000423 |
| work_keys_str_mv | AT satyadeo oncertainconstactionsinfinitisticspaces AT mohansingh oncertainconstactionsinfinitisticspaces |