Projective covers in certain categories of topological spaces
Banaschewski, B.
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Banaschewski, B.
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Banaschewski, B.
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Roland Coghetto (2016)
Formalized Mathematics
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The real projective plane has been formalized in Isabelle/HOL by Timothy Makarios [13] and in Coq by Nicolas Magaud, Julien Narboux and Pascal Schreck [12]. Some definitions on the real projective spaces were introduced early in the Mizar Mathematical Library by Wojciech Leonczuk [9], Krzysztof Prazmowski [10] and by Wojciech Skaba [18]. In this article, we check with the Mizar system [4], some properties on the determinants and the Grassmann-Plücker relation in rank 3 [2], [1], [7],...
Gallo, Daniel M. (1997)
Annales Academiae Scientiarum Fennicae. Mathematica
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Andrzej Miernowski, Witold Mozgawa (1997)
Collectanea Mathematica
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Grassmannians of higher order appeared for the first time in a paper of A. Szybiak in the context of the Cartan method of moving frame. In the present paper we consider a special case of higher order Grassmannian, the projective space of second order. We introduce the projective group of second order acting on this space, derive its Maurer-Cartan equations and show that our generalized projective space is a homogeneous space of this group.