...manifolds: An example in Algebra Situs" , ''Proc. Conf. in Low-Dimensional Topology in Honor of Joan Birman's 70th Birthday (Columbia Univ./Barnard College, Ma
2 KB (263 words) - 19:52, 5 March 2018
...The class of continuous closed mappings plays an important role in general topology and its applications. Continuous closed compact mappings are called perfect
...><TR><TD valign="top">[3]</TD> <TD valign="top"> R. Engelking, "General topology" , PWN (1977) (Translated from Polish)</TD></TR></table>
4 KB (635 words) - 17:44, 4 June 2020
If the norm-topology is replaced by the weak topology, then one obtains the so-called weak almost-periodic functions: A function
...unctions coincide with the functions that are uniformly continuous in this topology (for the numbers $ \{ \lambda _ {k} \} $
13 KB (1,809 words) - 19:41, 5 June 2020
where $\epsilon(th)/ t \to 0$ as $t\to 0$ in the topology of $Y$ (see also [[Gâteaux variation|Gâteaux variation]]). If the mapping
2 KB (302 words) - 14:28, 15 April 2023
in the weak$^\star$ topology (see [[Convergence of measures]]).
...e measures $\mu_{x,r}$ as in \ref{e:rescaled} converge in the weak$^\star$ topology to the measure $\mu$ of \ref{e:app_tangent} as $r\downarrow 0$.
12 KB (1,962 words) - 17:00, 13 June 2020
...for the above two conditions — (C) for closure finiteness and (W) for weak topology.
d) the topology of $ X $
7 KB (1,077 words) - 06:29, 30 May 2020
'''Algebraic structures & topology with homotopy groups & prime number theorem and its extensions or other for
...some way in which a topology on $B$ may be induced other than the subspace topology? I am also interested in specialisations, for example if $M$ is Hausdorff o
77 KB (14,100 words) - 05:22, 21 October 2018
...each of which has a certain structure (defined by algebraic operations, a topology, or by an order relation). The general definition of an operator coincides
...nes a continuous mapping from $X$ into $Y$ where $X$ and $Y$ have the weak topology. Compact operators are often called completely-continuous operators. Someti
14 KB (2,265 words) - 17:06, 24 January 2020
the convergence being understood in the topology of $ Y $.
2 KB (339 words) - 14:29, 15 April 2023
*** [[Order topology]]
3 KB (370 words) - 18:28, 28 February 2021
<TR><TD valign="top">[1]</TD> <TD valign="top"> Steven Vickers ''Topology via Logic'' Cambridge Tracts in Theoretical Computer Science '''5''' Cambri
=Alexandrov topology=
13 KB (2,146 words) - 19:18, 29 January 2018
...lambda ^ { p } ( M ^ { 1 } ( G ) )$ with respect to the ultraweak operator topology on $\mathcal{L} ( L _ { \text{C} } ^ { p } ( G ) )$.
...G ) )$ is homeomorphic to $P M _ { p } ( G )$ with the ultraweak operator topology on $\mathcal{L} ( L _ { \text{C} } ^ { p } ( G ) )$. As a consequence, for
11 KB (1,698 words) - 07:42, 27 January 2024
...$H ( G )$ denote the space of analytic functions on $G$ equipped with the topology of [[Uniform convergence|uniform convergence]] on compacta, let $\mathcal{B
5 KB (706 words) - 17:03, 1 July 2020
...s applications in general topology (cf. also [[Combinatorial analysis]]; [[Topology, general]]). The existence of Aronszajn trees is a theorem of [[ZFC]] [[set
...ed sets" K. Kunen (ed.) J.E. Vaughan (ed.) , ''Handbook of Set Theoretic Topology'' , North-Holland (1984)</TD></TR>
5 KB (783 words) - 16:49, 14 January 2021
The limit, in the topology of $ Y $,
3 KB (391 words) - 14:29, 15 April 2023
A topology $ \tau $
with an indefinite metric one cannot specify more than one Fréchet topology subordinate to $ G $,
12 KB (1,807 words) - 08:22, 6 June 2020
...erator ergodic theorem — and its generalizations), in the uniform operator topology (uniform ergodic theorems, see {{Cite|HP}}, {{Cite|DS}}, {{Cite|N}}), while
5 KB (685 words) - 16:32, 6 January 2024
endowed with the weak topology, is compact and is called the spectrum of the algebra $ A $,
3 KB (461 words) - 16:43, 4 June 2020
...e also uses ordered vector spaces on which there is also defined a certain topology compatible with the order. The simplest and most important example of such
...gy. For normed spaces, normality of the cone in the weak and in the strong topology are equivalent.
43 KB (5,981 words) - 17:13, 2 May 2020
...r short, a Parovichenko space). This theorem had wide applications both in topology as well as in the theory of Boolean algebras. The method of proof of this r
...4]</TD> <TD valign="top"> K. Kunen, "Weak P-points in $\mathbf{N}$" , ''Topology, Colloq. Math. Soc. János Bolyai'' , '''23''' (1980) pp. 741–749</TD><
11 KB (1,671 words) - 21:29, 19 November 2017