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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Hindawi Limited
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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doaj-0952a1d2c2bf44aebcfff3304e9dd8992020-11-24T22:04:08ZengHindawi LimitedInternational 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. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Satya Deo Janak Singh Andotra |
| 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. |
| author_facet |
Satya Deo Janak Singh Andotra |
| author_sort |
Satya Deo |
| title |
On G-finitistic spaces and related notions |
| title_short |
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_sort |
on g-finitistic spaces and related notions |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
1992-01-01 |
| 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. |
| 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 |
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1725830277139267584 |