Verb

(explor)

(obsolete) To seek for something or after someone.

To examine or investigate something systematically.

* {{quote-magazine, year=2013, month=May-June, author= Katie L. Burke

, title= In the News , volume=101, issue=3, page=193, magazine=(American Scientist) , passage=Bats host many high-profile viruses that can infect humans, including severe acute respiratory syndrome and Ebola. A recent study explored the ecological variables that may contribute to bats’ propensity to harbor such zoonotic diseases by comparing them with another order of common reservoir hosts: rodents.}}

To travel somewhere in search of discovery.

(medicine) To examine diagnostically.

To (seek) experience first hand.

To be engaged exploring in any of the above senses.

To wander without any particular aim or purpose.

*

They stayed together during three dances, went out on to the terrace, explored' wherever they were permitted to ' explore , paid two visits to the buffet, and enjoyed themselves much in the same way as if they had been school-children surreptitiously breaking loose from an assembly of grown-ups.

Verb

(immers)

To put under the surface of a liquid; to dunk.

Archimedes determined the volume of objects by immersing them in water.

To involve deeply

The sculptor immersed himself in anatomic studies.

(mathematics)

* 2002 , Kari Jormakka, Flying Dutchmen: Motion in Architecture (page 40)

Thus, in mathematical terms a Klein bottle cannot be "embedded" but only "immersed " in three dimensions as an embedding has no self-intersections but an immersion may have them.