On the betti number of the image of a codimension- k immersion with normal crossings

Carlos Biasi; Osamu Saeki

doi:10.1090/S0002-9939-1995-1273476-6

On the betti number of the image of a codimension- k immersion with normal crossings

Carlos Biasi, Osamu Saeki

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

Let f:M→N be a codimension- k immersion with normal crossings of a closed ra-dimensional manifold. We show that/is an embedding if and only if the (m-k+ l)-th Betti numbers of M and f(M) coincide, under a certain condition on the normal bundle of.

Original language	English
Pages (from-to)	3549-3554
Number of pages	6
Journal	Proceedings of the American Mathematical Society
Volume	123
Issue number	11
DOIs	https://doi.org/10.1090/S0002-9939-1995-1273476-6
Publication status	Published - Nov 1995
Externally published	Yes

All Science Journal Classification (ASJC) codes

Mathematics(all)
Applied Mathematics

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10.1090/S0002-9939-1995-1273476-6

Cite this

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title = "On the betti number of the image of a codimension- k immersion with normal crossings",

abstract = "Let f:M→N be a codimension- k immersion with normal crossings of a closed ra-dimensional manifold. We show that/is an embedding if and only if the (m-k+ l)-th Betti numbers of M and f(M) coincide, under a certain condition on the normal bundle of.",

author = "Carlos Biasi and Osamu Saeki",

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AU - Saeki, Osamu

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AB - Let f:M→N be a codimension- k immersion with normal crossings of a closed ra-dimensional manifold. We show that/is an embedding if and only if the (m-k+ l)-th Betti numbers of M and f(M) coincide, under a certain condition on the normal bundle of.

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ER -

On the betti number of the image of a codimension- k immersion with normal crossings

Abstract

All Science Journal Classification (ASJC) codes

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