Neighborhoods in strati"ed spaces with two strata
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چکیده
We develop a theory of tubular neighborhoods for the lower strata in manifold strati"ed spaces with two strata. In these topologically strati"ed spaces, manifold approximate "brations and teardrops play the role that "bre bundles and mapping cylinders play in smoothly strati"ed spaces. Applications include the classi"cation of neighborhood germs, a multiparameter isotopy extension theorem and an h-cobordism extension theorem. ( 2000 Elsevier Science Ltd. All rights reserved. MSC: primary 57N80; 57N40; 57R80; secondary 19J99; 55R65; 57N40
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تاریخ انتشار 2000