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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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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/S0161171292000620 |
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doaj-f7790b01a7854b70939c912d0f0400d52020-11-24T22:19:43ZengHindawi LimitedInternational 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. |
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DOAJ |
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English |
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Article |
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DOAJ |
| author |
Juan Julian Rivadeneyra Perez |
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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. |
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Juan Julian Rivadeneyra Perez |
| author_sort |
Juan Julian Rivadeneyra Perez |
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| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
1992-01-01 |
| 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. |
| topic |
Lusternik-Schnirelmann category categorical set covering CW-complex PL-manifold cell n-equivalence universal covering. |
| url |
http://dx.doi.org/10.1155/S0161171292000620 |
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AT juanjulianrivadeneyraperez oncatxp |
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