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The Lusternik-Schnirelmann category of a PL-manifold does not increase if we delete a point of it. This is false in the CW-complex category.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1992-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171292000620 |
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| _version_ | 1832562920056160256 |
|---|---|
| author | Juan Julian Rivadeneyra Perez |
| author_facet | Juan Julian Rivadeneyra Perez |
| author_sort | Juan Julian Rivadeneyra Perez |
| collection | DOAJ |
| description | The Lusternik-Schnirelmann category of a PL-manifold does not increase if we delete a point of it. This is false in the CW-complex category. |
| format | Article |
| id | doaj-art-f7790b01a7854b70939c912d0f0400d5 |
| 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-f7790b01a7854b70939c912d0f0400d52025-02-03T01:21:32ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251992-01-0115346546810.1155/S0161171292000620On cat (X\p)Juan Julian Rivadeneyra Perez0Departamento de Matemáticas, Universidad Autonoma Metropolitana, A.P. 55-534; C.P. 09340, México D.F., Iztapalapa, MexicoThe Lusternik-Schnirelmann category of a PL-manifold does not increase if we delete a point of it. This is false in the CW-complex category.http://dx.doi.org/10.1155/S0161171292000620Lusternik-Schnirelmann categorycategorical setcoveringCW-complexPL-manifoldcelln-equivalenceuniversal covering. |
| spellingShingle | Juan Julian Rivadeneyra Perez On cat (X\p) International Journal of Mathematics and Mathematical Sciences Lusternik-Schnirelmann category categorical set covering CW-complex PL-manifold cell n-equivalence universal covering. |
| title | On cat (X\p) |
| title_full | On cat (X\p) |
| title_fullStr | On cat (X\p) |
| title_full_unstemmed | On cat (X\p) |
| title_short | On cat (X\p) |
| title_sort | on cat x p |
| topic | Lusternik-Schnirelmann category categorical set covering CW-complex PL-manifold cell n-equivalence universal covering. |
| url | http://dx.doi.org/10.1155/S0161171292000620 |
| work_keys_str_mv | AT juanjulianrivadeneyraperez oncatxp |