The homotopy of spaces of maps between real projective spaces
نویسندگان
چکیده
منابع مشابه
Spaces of algebraic maps from real projective spaces into complex projective spaces
We study the homotopy types of spaces of algebraic (rational) maps from real projective spaces into complex projective spaces. It was already shown in [1] that the inclusion of the first space into the second one is a homotopy equivalence. In this paper we prove that the homotopy types of the terms of the natural ‘degree’ filtration approximate closer and closer the homotopy type of the space o...
متن کاملRational Homotopy of Spaces of Maps Into Spheres and Complex Projective Spaces
We investigate the rational homotopy classification problem for the components of some function spaces with Sn or cPn as target space.
متن کاملMaps into projective spaces
We compute the cohomology of the Picard bundle on the desingularization J̃ d (Y ) of the compactified Jacobian of an irreducible nodal curve Y . We use it to compute the cohomology classes of the Brill–Noether loci in J̃ d (Y ). We show that the moduli space M of morphisms of a fixed degree from Y to a projective space has a smooth compactification. As another application of the cohomology of the...
متن کاملsome properties of fuzzy hilbert spaces and norm of operators
in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...
15 صفحه اولThe coincidence Nielsen number for maps into real projective spaces
We give an algorithm to compute the coincidence Nielsen number N(f, g), introduced in [DJ], for pairs of maps into real projective spaces. 1. Preliminaries. Let f, g :M → N be a pair of maps between closed C-smooth connected manifolds of the same dimension. We investigate the coincidence set Φ(f, g) = {x ∈ M : fx = gx} of such a pair. The Nielsen relation (x, y ∈ Φ(f, g) are Nielsen equivalent ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of the Mathematical Society of Japan
سال: 2006
ISSN: 0025-5645
DOI: 10.2969/jmsj/1179759542