#### Glasnik Matematicki, Vol. 43, No.1 (2008), 219-229.

### ČECH-COMPLETE MAPS

### Yun-Feng Bai and Takuo Miwa

Department of Mathematics, Shimane University, Matsue 690-8504, Japan

(Capital Normal University, Beijin, China)

*e-mail:* `yuntingbai@126.com`
Department of Mathematics, Shimane University, Matsue 690-8504, Japan

*e-mail:* `miwa@riko.shimane-u.ac.jp`

**Abstract.** We introduce a new notion of
"Čech-complete map", and investigate some its basic
properties, invariance under perfect maps,
characterizations by compactifications of Čech-complete maps
and relationships between (locally) compact map, Čech-complete map and *k*-map.

**2000 Mathematics Subject Classification.**
55R70, 54C10, 54D35.

**Key words and phrases.** Fibrewise topology, Čech-complete map,
compact map, *k*-map, compactification of map, *T*_{2}-compactifiable map.

**Full text (PDF)** (free access)
DOI: 10.3336/gm.43.1.15

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