Fixed point indices and manifolds with collars

<p>This paper concerns a formula which relates the Lefschetz number <mml:math> <mml:mi>L</mml:mi><mml:mrow><mml:mo>(</mml:mo> <mml:mi>f</mml:mi> <mml:mo>)</mml:mo></mml:mrow> </mml:math> for a map <mml:math>...

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Format:	Article
Language:	English
Published:	SpringerOpen 2006-01-01
Series:	Fixed Point Theory and Applications
Online Access:	http://www.hindawi.com/GetArticle.aspx?doi=10.1155/FPTA/2006/87657

id	doaj-29fbb656a3684f6380a98aeae0af7932
record_format	Article
spelling	doaj-29fbb656a3684f6380a98aeae0af79322020-11-25T00:37:41ZengSpringerOpenFixed Point Theory and Applications1687-18202006-01-012006Fixed point indices and manifolds with collars<p>This paper concerns a formula which relates the Lefschetz number <mml:math> <mml:mi>L</mml:mi><mml:mrow><mml:mo>(</mml:mo> <mml:mi>f</mml:mi> <mml:mo>)</mml:mo></mml:mrow> </mml:math> for a map <mml:math> <mml:mi>f</mml:mi><mml:mo>:</mml:mo><mml:mi>M</mml:mi><mml:mo>→</mml:mo><mml:msup> <mml:mi>M</mml:mi> <mml:mo>′</mml:mo> </mml:msup> </mml:math> to the fixed point index <mml:math> <mml:mi>I</mml:mi><mml:mrow><mml:mo>(</mml:mo> <mml:mi>f</mml:mi> <mml:mo>)</mml:mo></mml:mrow> </mml:math> summed with the fixed point index of a derived map on part of the boundary of <mml:math> <mml:mo>∂</mml:mo><mml:mi>M</mml:mi> </mml:math>. Here <mml:math> <mml:mi>M</mml:mi> </mml:math> is a compact manifold and <mml:math> <mml:msup> <mml:mi>M</mml:mi> <mml:mo>′</mml:mo> </mml:msup> </mml:math> is <mml:math> <mml:mi>M</mml:mi> </mml:math> with a collar attached.</p>http://www.hindawi.com/GetArticle.aspx?doi=10.1155/FPTA/2006/87657
collection	DOAJ
language	English
format	Article
sources	DOAJ
title	Fixed point indices and manifolds with collars
spellingShingle	Fixed point indices and manifolds with collars Fixed Point Theory and Applications
title_short	Fixed point indices and manifolds with collars
title_full	Fixed point indices and manifolds with collars
title_fullStr	Fixed point indices and manifolds with collars
title_full_unstemmed	Fixed point indices and manifolds with collars
title_sort	fixed point indices and manifolds with collars
publisher	SpringerOpen
series	Fixed Point Theory and Applications
issn	1687-1820
publishDate	2006-01-01
description	<p>This paper concerns a formula which relates the Lefschetz number <mml:math> <mml:mi>L</mml:mi><mml:mrow><mml:mo>(</mml:mo> <mml:mi>f</mml:mi> <mml:mo>)</mml:mo></mml:mrow> </mml:math> for a map <mml:math> <mml:mi>f</mml:mi><mml:mo>:</mml:mo><mml:mi>M</mml:mi><mml:mo>→</mml:mo><mml:msup> <mml:mi>M</mml:mi> <mml:mo>′</mml:mo> </mml:msup> </mml:math> to the fixed point index <mml:math> <mml:mi>I</mml:mi><mml:mrow><mml:mo>(</mml:mo> <mml:mi>f</mml:mi> <mml:mo>)</mml:mo></mml:mrow> </mml:math> summed with the fixed point index of a derived map on part of the boundary of <mml:math> <mml:mo>∂</mml:mo><mml:mi>M</mml:mi> </mml:math>. Here <mml:math> <mml:mi>M</mml:mi> </mml:math> is a compact manifold and <mml:math> <mml:msup> <mml:mi>M</mml:mi> <mml:mo>′</mml:mo> </mml:msup> </mml:math> is <mml:math> <mml:mi>M</mml:mi> </mml:math> with a collar attached.</p>
url	http://www.hindawi.com/GetArticle.aspx?doi=10.1155/FPTA/2006/87657
_version_	1716138975316410368

Fixed point indices and manifolds with collars

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