Zobrazeno 1 - 10 of 17 pro vyhledávání: '"John F. Kennison"'
1
Searching for Absolute ᘓℛ–Epic Spaces
Autor: Michael Barr, R. Raphael, John F. Kennison
Publikováno v: Canadian Journal of Mathematics. 59:465-487
In previous papers, Barr and Raphael investigated the situation of a topological space Y and a subspace X such that the induced map C(Y ) → C(X) is an epimorphism in the category ᘓℛ of commutative rings (with units). We call such an embedding a
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::37ca8b75009dd66dc07bbc8f23e29186
https://doi.org/10.4153/cjm-2007-020-9
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2
Mathematical concepts for analyzing ambiguous situations
Autor: John F. Kennison, David Joyce
Publikováno v: Estudios de Psicología. 27:85-100
We examine some mathematical tools for dealing with ambiguous situations. The main tool is the use of non-standard logic with truth-values in what is called a locale. This approach is related to fuzzy set theory, which we briefly discuss. We also con
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::99fc394083d7702077da131d8249ee6d
https://doi.org/10.1174/021093906776173144
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3
Synthetic solution manifolds for differential equations
Autor: John F. Kennison
Publikováno v: Journal of Pure and Applied Algebra. 143:255-274
The space of all solutions for a first-order differential equation can be regarded as a manifold, provided we generalize the traditional notion of differential manifold. We consider two such generalizations using C∞-rings and the smooth Basel topos
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::de2f660255dde0110afec24e10debe2b
https://doi.org/10.1016/s0022-4049(96)00076-x
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8
Integral domain type representations in sheaves and other topoi
Autor: John F. Kennison
Publikováno v: Mathematische Zeitschrift. 151:35-56
In this paper we examine when an algebra of some kind can be represented as the algebra of sections of, for example, a sheaf whose stalks satisfy first-order conditions. This extends the work of [11] which was mainly restricted to totally Hausdorff r
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::8825d16c05fd874b07febf020bc671cc
https://doi.org/10.1007/bf01174724
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9
What is the fundamental group?
Autor: John F. Kennison
Publikováno v: Journal of Pure and Applied Algebra. 59(2):187-200
For well-behaved topological spaces, there are several equivalent definitions for the fundamental group. For example, we could use equivalence classes of loops under homotopy, or deck translations of the universal covering. For badly-behaved spaces,
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f67888055dba89472982621f6892d281
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10
Separable algebraic closure in a topos
Autor: John F. Kennison
Publikováno v: Journal of Pure and Applied Algebra. (1):7-24
In this paper we construct the separable algebraic closure of any field in a topos 8. (A separable closure is a field extension in which every separable polynomial splits and which is generated by the roots of these polynomials. P is a separable poly
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1a32d7897ab27346c9723369fbec99aa
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