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Necessary conditions are found for a Cantor subset of the circle to be minimal for some $C^{1}$ -diffeomorphism. These conditions are not satisfied by the usual ternary Cantor set.

$C^{1}$ weakly chaotic functions with zero topological entropy and non- flat critical points.

Jiménez López, Víctor (1991)

Acta Mathematica Universitatis Comenianae. New Series

C- and C*-quotients in pointfree topology [Book]

Richard N. Ball, Joanne Walters-Wayland (2002)

$C$ -compactness modulo an ideal.

Gupta, M.K., Noiri, T. (2006)

International Journal of Mathematics and Mathematical Sciences

$c$ -continuity and closed graphs

Tibor Neubrunn (1985)

Časopis pro pěstování matematiky

$C_{p} (I)$ is not subsequential

Viacheslav I. Malykhin (1999)

Commentationes Mathematicae Universitatis Carolinae

If a separable dense in itself metric space is not a union of countably many nowhere dense subsets, then its $C_{p}$ -space is not subsequential.

$C_{p}$ -Movably regular convergences

Zvonko Čerin (1983)

Fundamenta Mathematicae

$C^{*}$ -points vs $P$ -points and $P^{♭}$ -points

Jorge Martinez, Warren Wm. McGovern (2022)

Commentationes Mathematicae Universitatis Carolinae

In a Tychonoff space $X$ , the point $p \in X$ is called a $C^{*}$ -point if every real-valued continuous function on $C ∖ {p}$ can be extended continuously to $p$ . Every point in an extremally disconnected space is a $C^{*}$ -point. A classic example is the space $𝐖^{*} = ω_{1} + 1$ consisting of the countable ordinals together with $ω_{1}$ . The point $ω_{1}$ is known to be a $C^{*}$ -point as well as a $P$ -point. We supply a characterization of $C^{*}$ -points in totally ordered spaces. The remainder of our time is aimed at studying when a point in a product space is a $C^{*}$ -point....

$C_{q}$ -commuting maps and invariant approximations.

Hussain, N., Rhoades, B.E. (2006)

Fixed Point Theory and Applications [electronic only]

$C$ -spaces and simplicial complexes.

Fedorchuk, V.V. (2009)

Sibirskij Matematicheskij Zhurnal

$C (X)$ can sometimes determine $X$ without $X$ being realcompact

Melvin Henriksen, Biswajit Mitra (2005)

Commentationes Mathematicae Universitatis Carolinae

As usual $C (X)$ will denote the ring of real-valued continuous functions on a Tychonoff space $X$ . It is well-known that if $X$ and $Y$ are realcompact spaces such that $C (X)$ and $C (Y)$ are isomorphic, then $X$ and $Y$ are homeomorphic; that is $C (X)$ determines $X$ . The restriction to realcompact spaces stems from the fact that $C (X)$ and $C (υ X)$ are isomorphic, where $υ X$ is the (Hewitt) realcompactification of $X$ . In this note, a class of locally compact spaces $X$ that includes properly the class of locally compact realcompact spaces is exhibited...

$C (X)$ in the weak topology.

Veličko, N.V. (1995)

Georgian Mathematical Journal

Calculation of the free energy in a simple model

Kwaśniewski, A. K. (1987)

Proceedings of the 14th Winter School on Abstract Analysis

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