# Natural sinks on ${Y}_{\beta}$

Commentationes Mathematicae Universitatis Carolinae (1992)

- Volume: 33, Issue: 1, page 173-179
- ISSN: 0010-2628

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topSchröder, J.. "Natural sinks on $Y_\beta $." Commentationes Mathematicae Universitatis Carolinae 33.1 (1992): 173-179. <http://eudml.org/doc/247377>.

@article{Schröder1992,

abstract = {Let $\{(e_\beta : \{\mathbf \{Q\}\} \rightarrow Y_\beta )\}_\{\beta \in \text\{\bf Ord\}\}$ be the large source of epimorphisms in the category $\text\{\bf Ury\}$ of Urysohn spaces constructed in [2]. A sink $\{(g_\beta : Y_\beta \rightarrow X)\}_\{\beta \in \text\{\bf Ord\}\}$ is called natural, if $g_\beta \circ e_\beta = g_\{\beta ^\{\prime \}\} \circ e_\{\beta ^\{\prime \}\}$ for all $\beta ,\beta ^\{\prime \} \in \text\{\bf Ord\}$. In this paper natural sinks are characterized. As a result it is shown that $\text\{\bf Ury\}$ permits no $(\{Epi\},\{\mathcal \{M\}\})$-factorization structure for arbitrary (large) sources.},

author = {Schröder, J.},

journal = {Commentationes Mathematicae Universitatis Carolinae},

keywords = {epimorphism; Urysohn space; cointersection; factorization; natural sink; periodic; cowellpowered; ordinal; factorization structure; Urysohn space; epimorphism; cowellpowered; sink; source},

language = {eng},

number = {1},

pages = {173-179},

publisher = {Charles University in Prague, Faculty of Mathematics and Physics},

title = {Natural sinks on $Y_\beta $},

url = {http://eudml.org/doc/247377},

volume = {33},

year = {1992},

}

TY - JOUR

AU - Schröder, J.

TI - Natural sinks on $Y_\beta $

JO - Commentationes Mathematicae Universitatis Carolinae

PY - 1992

PB - Charles University in Prague, Faculty of Mathematics and Physics

VL - 33

IS - 1

SP - 173

EP - 179

AB - Let ${(e_\beta : {\mathbf {Q}} \rightarrow Y_\beta )}_{\beta \in \text{\bf Ord}}$ be the large source of epimorphisms in the category $\text{\bf Ury}$ of Urysohn spaces constructed in [2]. A sink ${(g_\beta : Y_\beta \rightarrow X)}_{\beta \in \text{\bf Ord}}$ is called natural, if $g_\beta \circ e_\beta = g_{\beta ^{\prime }} \circ e_{\beta ^{\prime }}$ for all $\beta ,\beta ^{\prime } \in \text{\bf Ord}$. In this paper natural sinks are characterized. As a result it is shown that $\text{\bf Ury}$ permits no $({Epi},{\mathcal {M}})$-factorization structure for arbitrary (large) sources.

LA - eng

KW - epimorphism; Urysohn space; cointersection; factorization; natural sink; periodic; cowellpowered; ordinal; factorization structure; Urysohn space; epimorphism; cowellpowered; sink; source

UR - http://eudml.org/doc/247377

ER -

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