Quasi-proper maps

1971 ◽  
pp. 166-183
Author(s):  
Aldo Andreotti ◽  
Wilhelm Stoll
Keyword(s):  
Proper Maps

scholarly journals Connected components of the space of proper gradient vector fields

2021 ◽  
Vol 24 (1) ◽  
Author(s):  
Maciej Starostka
Keyword(s):  
Vector Fields ◽  
Connected Components ◽  
Gradient Vector ◽  
Proper Maps

AbstractWe show that there exist two proper gradient vector fields on $$\mathbb {R}^n$$ R n which are homotopic in the category of proper maps but not homotopic in the category of proper gradient maps.

Proper maps of toposes

2000 ◽  
Vol 148 (705) ◽  
pp. 0-0 ◽  
Author(s):  
I. Moerdijk ◽  
J. J. C. Vermeulen
Keyword(s):  
Proper Maps

scholarly journals Images of collections of proper maps which determine a topology

1995 ◽  
Vol 67 (1) ◽  
pp. 43-51
Author(s):  
Charles L. Cooper
Keyword(s):  
Proper Maps

scholarly journals Proper maps of locales

1994 ◽  
Vol 92 (1) ◽  
pp. 79-107 ◽  
Author(s):  
J.J.C. Vermeulen
Keyword(s):  
Proper Maps

The Motivic Group H−1,−1BM

2019 ◽  
pp. 95-102
Author(s):  
Christian Haesemeyer ◽  
Charles A. Weibel
Keyword(s):  
Homology Groups ◽  
Group Of Units ◽  
Proper Maps ◽  
Flat Maps

This chapter develops some more of the properties of the Borel–Moore homology groups 𝐻𝐵𝑀 −1,−1(𝑋). It shows that it is contravariant in 𝑋 for finite flat maps, and has a functorial pushforward for proper maps. If 𝑋 is smooth and proper (in characteristic 0), 𝐻𝐵𝑀 −1,−1(𝑋) agrees with 𝐻2𝒅+1,𝒅+1(𝑋, ℤ), and has a nice presentation, which this chapter explores in more depth. The main result in this chapter is the proposition that: if 𝑋 is a norm variety for ª and 𝑘 is 𝓁-special then the image of 𝐻𝐵𝑀 −1,−1(𝑋) → 𝑘× is the group of units 𝑏 such that ª ∪ 𝑏 vanishes in 𝐾𝑀 𝑛+1(𝑘)/𝓁. Again, this chapter also explores the historic trajectory of its equations.

A generalization of Kerner's theorem on proper maps

2010 ◽  
Vol 65 (6) ◽  
pp. 1181-1182
Author(s):  
Nikolai G Kruzhilin
Keyword(s):  
Proper Maps

On the Solvability and Continuation Type Results for Nonlinear Equations with Applications, II

1982 ◽  
Vol 25 (1) ◽  
pp. 98-109 ◽  
Author(s):  
P. S. Milojevič
Keyword(s):  
Growth Condition ◽  
Nonlinear Equations ◽  
Proper Maps

AbstractIn this paper we continue our study of the solvability of nonlinear equations involving uniform limits of A-proper and pseudo A-proper maps under a new growth condition (1) that we began in [14,15]. Applications of our results to quasimonotone, ball-condensing pertubations of c -accretive maps and maps of semibounded variation and of type (M) are also given.

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