A van Kampen theorem
نویسندگان
چکیده
منابع مشابه
A Generalized Van Kampen-flores Theorem
The «-skeleton of a (2« + 2)-simplex does not embed in R " . This well-known result is due (independently) to van Kampen, 1932, and Flores, 1933, who proved the case p = 2 of the following: Theorem. Let p be a prime, and let s and I be positive integers such that l(P 1) < P{s 1). Then, for any continuous map f from a (ps + p 2)dimensional simplex into R , there must exist p points {xx, ... , x ...
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Homotopy type theory is a recent research area connecting type theory with homotopy theory by interpreting types as spaces. In particular, one can prove and mechanize type-theoretic analogues of homotopy-theoretic theorems, yielding “synthetic homotopy theory”. Here we consider the Seifert–van Kampen theorem, which characterizes the loop structure of spaces obtained by gluing. This is useful in...
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Homotopy type theory is a recent research area connecting type theory with homotopy theory by interpreting types as spaces. In particular, one can prove and mechanize type-theoretic analogues of homotopy-theoretic theorems, yielding “synthetic homotopy theory”. Here we consider the Seifert–van Kampen theorem, which characterizes the loop structure of spaces obtained by gluing. This is useful in...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 1975
ISSN: 0022-4049
DOI: 10.1016/0022-4049(75)90011-0