On G-finitistic spaces and related notions
Let X be a G-space where G is a topological group. We show that X is G-finitistic iff the orbit space X/G is finitistic. This result allows us to answer a question raised in [5] asking for an equivariant characterization of a non-finitistic G-space where G is a compact Lie group. For an arbitrary co...
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| Format: | Article |
| Language: | English |
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Wiley
1992-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171292000486 |
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| _version_ | 1832566591361908736 |
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| author | Satya Deo Janak Singh Andotra |
| author_facet | Satya Deo Janak Singh Andotra |
| author_sort | Satya Deo |
| collection | DOAJ |
| description | Let X be a G-space where G is a topological group. We show that X is G-finitistic iff the orbit space X/G is finitistic. This result allows us to answer a question raised in [5] asking for an equivariant characterization of a non-finitistic G-space where G is a compact Lie group. For an arbitrary compact group G a simple characterization of G-finitistic spaces has been obtained in terms of new notions of G-compactness and G-dimension. |
| format | Article |
| id | doaj-art-0952a1d2c2bf44aebcfff3304e9dd899 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1992-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-0952a1d2c2bf44aebcfff3304e9dd8992025-02-03T01:03:35ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251992-01-0115237137810.1155/S0161171292000486On G-finitistic spaces and related notionsSatya Deo0Janak Singh Andotra1Department of Mathematics and Computer Science, R.D. University, Jabalpur 482001, IndiaDepartment of Mathematics, University of Jammu, Jammu 180001, IndiaLet X be a G-space where G is a topological group. We show that X is G-finitistic iff the orbit space X/G is finitistic. This result allows us to answer a question raised in [5] asking for an equivariant characterization of a non-finitistic G-space where G is a compact Lie group. For an arbitrary compact group G a simple characterization of G-finitistic spaces has been obtained in terms of new notions of G-compactness and G-dimension.http://dx.doi.org/10.1155/S0161171292000486G-spacefinitistic spaceG-finitistic spacescompact Lie group and covering dimension. |
| spellingShingle | Satya Deo Janak Singh Andotra On G-finitistic spaces and related notions International Journal of Mathematics and Mathematical Sciences G-space finitistic space G-finitistic spaces compact Lie group and covering dimension. |
| title | On G-finitistic spaces and related notions |
| title_full | On G-finitistic spaces and related notions |
| title_fullStr | On G-finitistic spaces and related notions |
| title_full_unstemmed | On G-finitistic spaces and related notions |
| title_short | On G-finitistic spaces and related notions |
| title_sort | on g finitistic spaces and related notions |
| topic | G-space finitistic space G-finitistic spaces compact Lie group and covering dimension. |
| url | http://dx.doi.org/10.1155/S0161171292000486 |
| work_keys_str_mv | AT satyadeo ongfinitisticspacesandrelatednotions AT janaksinghandotra ongfinitisticspacesandrelatednotions |